Atkin-Lehner |
3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
98397ba |
Isogeny class |
Conductor |
98397 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2505600 |
Modular degree for the optimal curve |
Δ |
-1.497629857254E+19 |
Discriminant |
Eigenvalues |
0 3- -4 1 4 13- 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,292668,-175936149] |
[a1,a2,a3,a4,a6] |
j |
7602176/41067 |
j-invariant |
L |
1.3348724150139 |
L(r)(E,1)/r! |
Ω |
0.11123935149786 |
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 |
32799j1 98397w1 |
Quadratic twists by: -3 29 |