Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
59290eb |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
617760 |
Modular degree for the optimal curve |
Δ |
-2774101878984590 = -1 · 2 · 5 · 76 · 119 |
Discriminant |
Eigenvalues |
2- 3 5- 7- 11+ 4 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,28533,-1733399] |
[a1,a2,a3,a4,a6] |
j |
9261/10 |
j-invariant |
L |
12.264230808322 |
L(r)(E,1)/r! |
Ω |
0.24528461619684 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1210i1 59290bo1 |
Quadratic twists by: -7 -11 |