Atkin-Lehner |
2- 3- 5+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
23010q |
Isogeny class |
Conductor |
23010 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
44640 |
Modular degree for the optimal curve |
Δ |
728050781250 = 2 · 35 · 59 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -5 13+ -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3636,-74034] |
[a1,a2,a3,a4,a6] |
j |
5316218237037889/728050781250 |
j-invariant |
L |
3.1019781435607 |
L(r)(E,1)/r! |
Ω |
0.62039562871213 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69030q1 115050i1 |
Quadratic twists by: -3 5 |