Atkin-Lehner |
2- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121520cm |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
4355276800000 = 217 · 55 · 73 · 31 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -1 -5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4160,25600] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:160:1] [-30:350:1] |
Generators of the group modulo torsion |
j |
5668315687/3100000 |
j-invariant |
L |
10.254265892531 |
L(r)(E,1)/r! |
Ω |
0.6761314733014 |
Real period |
R |
0.37915206948901 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986114 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15190bi1 121520bs1 |
Quadratic twists by: -4 -7 |