Atkin-Lehner |
3+ 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
45951b |
Isogeny class |
Conductor |
45951 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1693440 |
Modular degree for the optimal curve |
Δ |
1.1480495443722E+21 |
Discriminant |
Eigenvalues |
-1 3+ 0 -3 0 -3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5629148,-4877593162] |
[a1,a2,a3,a4,a6] |
Generators |
[-2826824:35250890:2197] |
Generators of the group modulo torsion |
j |
817256136359958625/47562765926103 |
j-invariant |
L |
1.8811145395803 |
L(r)(E,1)/r! |
Ω |
0.098370431137121 |
Real period |
R |
9.5613820017369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2703b1 |
Quadratic twists by: 17 |