Atkin-Lehner |
3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
98397g |
Isogeny class |
Conductor |
98397 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
361920 |
Modular degree for the optimal curve |
Δ |
-175586490949311 = -1 · 33 · 13 · 298 |
Discriminant |
Eigenvalues |
1 3+ -3 0 -5 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,13719,151288] |
[a1,a2,a3,a4,a6] |
j |
21141/13 |
j-invariant |
L |
0.70450447370922 |
L(r)(E,1)/r! |
Ω |
0.35225210195115 |
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 |
98397h1 98397d1 |
Quadratic twists by: -3 29 |