Atkin-Lehner |
2+ 3+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
61854f |
Isogeny class |
Conductor |
61854 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
164160 |
Modular degree for the optimal curve |
Δ |
-2713516176384 = -1 · 210 · 32 · 136 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 3 3 1 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5411,170253] |
[a1,a2,a3,a4,a6] |
j |
-3630961153/562176 |
j-invariant |
L |
3.1195990604317 |
L(r)(E,1)/r! |
Ω |
0.77989976484407 |
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 |
366g1 |
Quadratic twists by: 13 |