Atkin-Lehner |
2- 5- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
64240q |
Isogeny class |
Conductor |
64240 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-726312857600000 = -1 · 215 · 55 · 113 · 732 |
Discriminant |
Eigenvalues |
2- 1 5- 3 11+ 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29160,2304308] |
[a1,a2,a3,a4,a6] |
Generators |
[76:-730:1] |
Generators of the group modulo torsion |
j |
-669485563505641/177322475000 |
j-invariant |
L |
8.5924643259814 |
L(r)(E,1)/r! |
Ω |
0.48213947307934 |
Real period |
R |
0.89107662878654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000526 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8030f1 |
Quadratic twists by: -4 |