Atkin-Lehner |
2+ 3- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
89082s |
Isogeny class |
Conductor |
89082 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
808704 |
Modular degree for the optimal curve |
Δ |
-3233215346231808 = -1 · 29 · 312 · 76 · 101 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 2 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52929,5440189] |
[a1,a2,a3,a4,a6] |
Generators |
[-199:2939:1] |
Generators of the group modulo torsion |
j |
-191202526081/37698048 |
j-invariant |
L |
4.1324088237776 |
L(r)(E,1)/r! |
Ω |
0.42938700566787 |
Real period |
R |
4.8119863653828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999764903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29694k1 1818g1 |
Quadratic twists by: -3 -7 |