Atkin-Lehner |
2- 37+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
25456c |
Isogeny class |
Conductor |
25456 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29760 |
Modular degree for the optimal curve |
Δ |
-445829459968 = -1 · 212 · 372 · 433 |
Discriminant |
Eigenvalues |
2- 0 -2 4 5 1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1136,-35344] |
[a1,a2,a3,a4,a6] |
j |
-39582093312/108845083 |
j-invariant |
L |
3.0518740980303 |
L(r)(E,1)/r! |
Ω |
0.3814842622538 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1591a1 101824l1 |
Quadratic twists by: -4 8 |