Atkin-Lehner |
3+ 7- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114513b |
Isogeny class |
Conductor |
114513 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
274945713 = 3 · 76 · 19 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2402,-46306] |
[a1,a2,a3,a4,a6] |
j |
13027640977/2337 |
j-invariant |
L |
1.3639231731632 |
L(r)(E,1)/r! |
Ω |
0.68196178239752 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2337c1 |
Quadratic twists by: -7 |