Atkin-Lehner |
2- 29- 43- |
Signs for the Atkin-Lehner involutions |
Class |
107242b |
Isogeny class |
Conductor |
107242 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
317016 |
Modular degree for the optimal curve |
Δ |
-733278113684 = -1 · 22 · 29 · 436 |
Discriminant |
Eigenvalues |
2- 3 3 2 -1 3 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2196,-56597] |
[a1,a2,a3,a4,a6] |
j |
-185193/116 |
j-invariant |
L |
16.95486345468 |
L(r)(E,1)/r! |
Ω |
0.33909728954523 |
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 |
58a1 |
Quadratic twists by: -43 |