Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800y |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
4797731250000 = 24 · 310 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25050,1522375] |
[a1,a2,a3,a4,a6] |
j |
9538484224/26325 |
j-invariant |
L |
1.5462190849626 |
L(r)(E,1)/r! |
Ω |
0.77310954270685 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23400k1 15600q1 9360v1 |
Quadratic twists by: -4 -3 5 |