Atkin-Lehner |
2+ 3+ 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
127794j |
Isogeny class |
Conductor |
127794 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
31799236608 = 211 · 36 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 0 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-805,-2291] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:43:1] |
Generators of the group modulo torsion |
j |
160120464625/88086528 |
j-invariant |
L |
3.2910680901729 |
L(r)(E,1)/r! |
Ω |
0.95844380090015 |
Real period |
R |
1.7168811375799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997684074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127794bi1 |
Quadratic twists by: -19 |