Atkin-Lehner |
2+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
45248b |
Isogeny class |
Conductor |
45248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-27811954688 = -1 · 214 · 75 · 101 |
Discriminant |
Eigenvalues |
2+ -1 0 7+ -6 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-318353,-69031151] |
[a1,a2,a3,a4,a6] |
Generators |
[20814273:548207452:19683] |
Generators of the group modulo torsion |
j |
-217787012453554000/1697507 |
j-invariant |
L |
2.6390782117776 |
L(r)(E,1)/r! |
Ω |
0.10049448025804 |
Real period |
R |
13.130463509041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45248bb1 5656a1 |
Quadratic twists by: -4 8 |