Atkin-Lehner |
2- 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
57660f |
Isogeny class |
Conductor |
57660 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
276768000 = 28 · 32 · 53 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -5 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-165,225] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-30:1] [-9:30:1] |
Generators of the group modulo torsion |
j |
2031616/1125 |
j-invariant |
L |
8.4056456105449 |
L(r)(E,1)/r! |
Ω |
1.5076271313523 |
Real period |
R |
0.30974522943084 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57660j1 |
Quadratic twists by: -31 |