Atkin-Lehner |
2- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
13616i |
Isogeny class |
Conductor |
13616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1824 |
Modular degree for the optimal curve |
Δ |
-503792 = -1 · 24 · 23 · 372 |
Discriminant |
Eigenvalues |
2- 3 0 2 2 1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25,59] |
[a1,a2,a3,a4,a6] |
j |
-108000000/31487 |
j-invariant |
L |
5.5741949912532 |
L(r)(E,1)/r! |
Ω |
2.7870974956266 |
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 |
3404b1 54464u1 122544bd1 |
Quadratic twists by: -4 8 -3 |