Atkin-Lehner |
2- 3- 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050bu |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
98736269531250 = 2 · 3 · 510 · 134 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-29500088,61668838542] |
[a1,a2,a3,a4,a6] |
Generators |
[1951030777298052:-7656612544339801:600357185856] |
Generators of the group modulo torsion |
j |
181707821450280289946809/6319121250 |
j-invariant |
L |
14.246962458283 |
L(r)(E,1)/r! |
Ω |
0.31950908102386 |
Real period |
R |
22.295082232992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999909131 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23010a4 |
Quadratic twists by: 5 |