Atkin-Lehner |
2+ 3+ 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050g |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-618551943750000 = -1 · 24 · 37 · 58 · 13 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4975,-1186875] |
[a1,a2,a3,a4,a6] |
j |
871257511151/39587324400 |
j-invariant |
L |
0.98568177313242 |
L(r)(E,1)/r! |
Ω |
0.2464204177501 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23010o1 |
Quadratic twists by: 5 |