Atkin-Lehner |
2- 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
98252i |
Isogeny class |
Conductor |
98252 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
342144 |
Modular degree for the optimal curve |
Δ |
375272090918032 = 24 · 73 · 119 · 29 |
Discriminant |
Eigenvalues |
2- -1 0 7- 11+ -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-215178,-38335955] |
[a1,a2,a3,a4,a6] |
j |
29205536000/9947 |
j-invariant |
L |
1.3300257396956 |
L(r)(E,1)/r! |
Ω |
0.22167095720938 |
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 |
98252a1 |
Quadratic twists by: -11 |