Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800fn |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-2387658124800000000 = -1 · 215 · 315 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,43125,-74263750] |
[a1,a2,a3,a4,a6] |
Generators |
[24663:728144:27] |
Generators of the group modulo torsion |
j |
7604375/2047032 |
j-invariant |
L |
7.1693581934067 |
L(r)(E,1)/r! |
Ω |
0.12140263026058 |
Real period |
R |
7.3817986665769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5850cc1 15600bx1 46800dl1 |
Quadratic twists by: -4 -3 5 |