Atkin-Lehner |
2- 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
64240r |
Isogeny class |
Conductor |
64240 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-453945536000000000 = -1 · 215 · 59 · 113 · 732 |
Discriminant |
Eigenvalues |
2- -1 5- 1 11+ -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39920,32574400] |
[a1,a2,a3,a4,a6] |
Generators |
[690:-18250:1] [440:10000:1] |
Generators of the group modulo torsion |
j |
-1717695749908081/110826546875000 |
j-invariant |
L |
9.0480889378051 |
L(r)(E,1)/r! |
Ω |
0.2450255381548 |
Real period |
R |
0.51287675097195 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8030j1 |
Quadratic twists by: -4 |