Atkin-Lehner |
2- 3+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
120540v |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
203212800 |
Modular degree for the optimal curve |
Δ |
1.9076200808148E+30 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 7 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3176151645,-18192392122743] |
[a1,a2,a3,a4,a6] |
Generators |
[-47892805998:2126149294725:8242408] |
Generators of the group modulo torsion |
j |
49001236094162578530304/26379801299626903125 |
j-invariant |
L |
7.3029535754385 |
L(r)(E,1)/r! |
Ω |
0.021411594735041 |
Real period |
R |
11.369157172098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120540x1 |
Quadratic twists by: -7 |