Atkin-Lehner |
2- 3- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
88572d |
Isogeny class |
Conductor |
88572 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
1260472737744 = 24 · 36 · 116 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3549,-62064] |
[a1,a2,a3,a4,a6] |
Generators |
[144:1560:1] |
Generators of the group modulo torsion |
j |
174456832/44469 |
j-invariant |
L |
8.0538437056393 |
L(r)(E,1)/r! |
Ω |
0.63015497148027 |
Real period |
R |
4.2602450029382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000823 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
732c1 |
Quadratic twists by: -11 |