Atkin-Lehner |
2- 3- 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
98136h |
Isogeny class |
Conductor |
98136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
578560 |
Modular degree for the optimal curve |
Δ |
-44684539020168192 = -1 · 210 · 38 · 29 · 475 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 3 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,77325,5911166] |
[a1,a2,a3,a4,a6] |
j |
68494549437500/59859046827 |
j-invariant |
L |
0.93618830432848 |
L(r)(E,1)/r! |
Ω |
0.2340471080202 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32712a1 |
Quadratic twists by: -3 |