Atkin-Lehner |
2- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
33418bg |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
-1.6818667504674E+21 |
Discriminant |
Eigenvalues |
2- -1 3 7- 11+ -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,13376,1973127393] |
[a1,a2,a3,a4,a6] |
j |
2249635843727/14295631501053056 |
j-invariant |
L |
3.3228651042081 |
L(r)(E,1)/r! |
Ω |
0.11867375372175 |
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 |
4774g1 |
Quadratic twists by: -7 |