Atkin-Lehner |
2+ 5- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89570m |
Isogeny class |
Conductor |
89570 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
349056 |
Modular degree for the optimal curve |
Δ |
-167466377728000 = -1 · 212 · 53 · 133 · 533 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 -3 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,11918,374964] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:486:1] |
Generators of the group modulo torsion |
j |
85201425188027/76225024000 |
j-invariant |
L |
7.5050330285147 |
L(r)(E,1)/r! |
Ω |
0.37369812586412 |
Real period |
R |
1.6735952762762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89570x1 |
Quadratic twists by: 13 |