Atkin-Lehner |
2+ 7+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31304d |
Isogeny class |
Conductor |
31304 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-16885127168 = -1 · 211 · 73 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 3 -2 7+ 3 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6691,-210754] |
[a1,a2,a3,a4,a6] |
j |
-16175840258034/8244691 |
j-invariant |
L |
4.7506827532485 |
L(r)(E,1)/r! |
Ω |
0.26392681962527 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62608g1 |
Quadratic twists by: -4 |