Atkin-Lehner |
19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
13357b |
Isogeny class |
Conductor |
13357 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-1223710410691 = -1 · 197 · 372 |
Discriminant |
Eigenvalues |
2 0 -3 3 -1 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,361,53157] |
[a1,a2,a3,a4,a6] |
j |
110592/26011 |
j-invariant |
L |
2.6717843626198 |
L(r)(E,1)/r! |
Ω |
0.66794609065494 |
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 |
120213i1 703b1 |
Quadratic twists by: -3 -19 |