Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800cu |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-25231564800 = -1 · 213 · 36 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -3 13+ -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3195,69930] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-26:1] |
Generators of the group modulo torsion |
j |
-48317985/338 |
j-invariant |
L |
5.1108642679059 |
L(r)(E,1)/r! |
Ω |
1.1996942201552 |
Real period |
R |
1.0650347776185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5850bk1 5200u1 46800fc1 |
Quadratic twists by: -4 -3 5 |