Atkin-Lehner |
3- 29- 43- |
Signs for the Atkin-Lehner involutions |
Class |
108489m |
Isogeny class |
Conductor |
108489 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5099360 |
Modular degree for the optimal curve |
Δ |
1871421830887101 = 3 · 299 · 43 |
Discriminant |
Eigenvalues |
2 3- -1 -2 -5 6 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9113356,-10592298293] |
[a1,a2,a3,a4,a6] |
j |
5770012921856/129 |
j-invariant |
L |
4.3446015625607 |
L(r)(E,1)/r! |
Ω |
0.086892034781165 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108489c1 |
Quadratic twists by: 29 |