Atkin-Lehner |
2+ 7- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
125552b |
Isogeny class |
Conductor |
125552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
47232 |
Modular degree for the optimal curve |
Δ |
-305342464 = -1 · 211 · 7 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ -2 -1 7- -2 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-936,-11372] |
[a1,a2,a3,a4,a6] |
Generators |
[68:494:1] |
Generators of the group modulo torsion |
j |
-44328722258/149093 |
j-invariant |
L |
3.9504748190634 |
L(r)(E,1)/r! |
Ω |
0.43144404878223 |
Real period |
R |
2.2891003190578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999498069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62776a1 |
Quadratic twists by: -4 |