Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400b |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
754515000000 = 26 · 38 · 57 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4508,110262] |
[a1,a2,a3,a4,a6] |
Generators |
[51:102:1] |
Generators of the group modulo torsion |
j |
10133786944/754515 |
j-invariant |
L |
3.442592296337 |
L(r)(E,1)/r! |
Ω |
0.88014091427138 |
Real period |
R |
3.911410396793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999233516 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400dp1 55200cd3 22080bn1 |
Quadratic twists by: -4 8 5 |