Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600hv |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
132480 |
Modular degree for the optimal curve |
Δ |
-235200000000 = -1 · 212 · 3 · 58 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2333,-50037] |
[a1,a2,a3,a4,a6] |
Generators |
[4791:61300:27] |
Generators of the group modulo torsion |
j |
-17920/3 |
j-invariant |
L |
8.8649861130966 |
L(r)(E,1)/r! |
Ω |
0.34034017262554 |
Real period |
R |
4.3412379851489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600bo1 117600u1 117600fn1 |
Quadratic twists by: -4 5 -7 |