Atkin-Lehner |
2+ 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
119600c |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-68770000000000 = -1 · 210 · 510 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ 0 5+ 1 -1 13- 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-801875,276381250] |
[a1,a2,a3,a4,a6] |
Generators |
[531:554:1] |
Generators of the group modulo torsion |
j |
-5702216904900/6877 |
j-invariant |
L |
7.8360926081924 |
L(r)(E,1)/r! |
Ω |
0.52144385935146 |
Real period |
R |
3.7569205845254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999141216 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59800b1 119600i1 |
Quadratic twists by: -4 5 |