Atkin-Lehner |
2+ 3- 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
25254h |
Isogeny class |
Conductor |
25254 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
3706455978934272 = 227 · 39 · 23 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 0 5 -3 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39447,726813] |
[a1,a2,a3,a4,a6] |
j |
9312028938816625/5084301754368 |
j-invariant |
L |
1.5421005064365 |
L(r)(E,1)/r! |
Ω |
0.38552512660913 |
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 |
8418g1 |
Quadratic twists by: -3 |