Atkin-Lehner |
3- 5+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
44505j |
Isogeny class |
Conductor |
44505 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6687360 |
Modular degree for the optimal curve |
Δ |
-632698847982421875 = -1 · 311 · 59 · 23 · 433 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 5 -6 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-291645833,-1916969744644] |
[a1,a2,a3,a4,a6] |
Generators |
[151300566762746062399056614001250964066051498940660653491207747010028:29435507036205780879839296590167357579795735937905095237740757001062955:3332663070078306818590816894562617739239463476528930609320007721] |
Generators of the group modulo torsion |
j |
-3763253804902063027927458121/867899654296875 |
j-invariant |
L |
3.9211719104802 |
L(r)(E,1)/r! |
Ω |
0.01826651152461 |
Real period |
R |
107.33225950662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14835f1 |
Quadratic twists by: -3 |