Atkin-Lehner |
2+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
113600j |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
403280000000 = 210 · 57 · 712 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 4 -4 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2533,-37563] |
[a1,a2,a3,a4,a6] |
Generators |
[-275775:570672:15625] |
Generators of the group modulo torsion |
j |
112377856/25205 |
j-invariant |
L |
12.928797745835 |
L(r)(E,1)/r! |
Ω |
0.6837390733803 |
Real period |
R |
9.4544821543439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008378 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113600cn1 7100a1 22720d1 |
Quadratic twists by: -4 8 5 |