Atkin-Lehner |
3- 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
124425i |
Isogeny class |
Conductor |
124425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
41161305620925 = 311 · 52 · 76 · 79 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 -1 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9230,147912] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:708:1] |
Generators of the group modulo torsion |
j |
4771085130625/2258507853 |
j-invariant |
L |
4.369360369966 |
L(r)(E,1)/r! |
Ω |
0.57481951963585 |
Real period |
R |
1.9003183531173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000087861 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41475b1 124425be1 |
Quadratic twists by: -3 5 |