Atkin-Lehner |
2- 7+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87514i |
Isogeny class |
Conductor |
87514 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
2195551232 = 210 · 74 · 19 · 47 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 0 1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-393,1945] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-23:1] [-10:75:1] |
Generators of the group modulo torsion |
j |
2796264625/914432 |
j-invariant |
L |
11.881147496796 |
L(r)(E,1)/r! |
Ω |
1.3493012604024 |
Real period |
R |
0.29351358477726 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000202 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87514z1 |
Quadratic twists by: -7 |