Atkin-Lehner |
2+ 3+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
59094b |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4173120 |
Modular degree for the optimal curve |
Δ |
-4.2728251207101E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 5 -4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4333569,4685913917] |
[a1,a2,a3,a4,a6] |
Generators |
[233:60619:1] |
Generators of the group modulo torsion |
j |
-79320474507267/37656461312 |
j-invariant |
L |
4.7652187588496 |
L(r)(E,1)/r! |
Ω |
0.12914547076291 |
Real period |
R |
3.0748392558835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000405 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59094bf1 59094g1 |
Quadratic twists by: -3 -7 |