Atkin-Lehner |
3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
45423f |
Isogeny class |
Conductor |
45423 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
85365829652229 = 313 · 72 · 1033 |
Discriminant |
Eigenvalues |
1 3- 1 7- -4 -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23004,1272991] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:1229:1] |
Generators of the group modulo torsion |
j |
37689536795281/2389793949 |
j-invariant |
L |
6.5611296725249 |
L(r)(E,1)/r! |
Ω |
0.5956870123366 |
Real period |
R |
5.5071955042161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15141d1 45423c1 |
Quadratic twists by: -3 -7 |