Atkin-Lehner |
2- 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
48100c |
Isogeny class |
Conductor |
48100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-113900800 = -1 · 28 · 52 · 13 · 372 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 -3 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3108,65668] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-74:1] |
Generators of the group modulo torsion |
j |
-518951170000/17797 |
j-invariant |
L |
2.0512973711916 |
L(r)(E,1)/r! |
Ω |
1.7491224932473 |
Real period |
R |
0.19545966421653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998509 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48100g1 |
Quadratic twists by: 5 |