Atkin-Lehner |
2+ 3- 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
91650bg |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
-1143251379562500 = -1 · 22 · 311 · 56 · 133 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -3 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,20574,1166248] |
[a1,a2,a3,a4,a6] |
Generators |
[407:8571:1] |
Generators of the group modulo torsion |
j |
61643918316527/73168088292 |
j-invariant |
L |
6.5909560151521 |
L(r)(E,1)/r! |
Ω |
0.32630516175179 |
Real period |
R |
0.15302082445487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017651 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3666k1 |
Quadratic twists by: 5 |