Atkin-Lehner |
2+ 5+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
75440d |
Isogeny class |
Conductor |
75440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
347024000000 = 210 · 56 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6896,-216304] |
[a1,a2,a3,a4,a6] |
Generators |
[118:774:1] |
Generators of the group modulo torsion |
j |
35422441371076/338890625 |
j-invariant |
L |
9.2594109986398 |
L(r)(E,1)/r! |
Ω |
0.52419854824316 |
Real period |
R |
4.4159846630664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37720b1 |
Quadratic twists by: -4 |