Atkin-Lehner |
2+ 3+ 37+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
118992c |
Isogeny class |
Conductor |
118992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
488320 |
Modular degree for the optimal curve |
Δ |
-1020475392 = -1 · 211 · 3 · 37 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 4 1 3 -3 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-150096,-22332192] |
[a1,a2,a3,a4,a6] |
j |
-182601360554975138/498279 |
j-invariant |
L |
4.3659579998982 |
L(r)(E,1)/r! |
Ω |
0.12127660703519 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59496f1 |
Quadratic twists by: -4 |