Atkin-Lehner |
3+ 11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8151c |
Isogeny class |
Conductor |
8151 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3264 |
Modular degree for the optimal curve |
Δ |
26629317 = 34 · 113 · 13 · 19 |
Discriminant |
Eigenvalues |
-2 3+ -2 -3 11- 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-404,3254] |
[a1,a2,a3,a4,a6] |
Generators |
[2:49:1] |
Generators of the group modulo torsion |
j |
7310420365312/26629317 |
j-invariant |
L |
1.1390092066291 |
L(r)(E,1)/r! |
Ω |
2.1219596273648 |
Real period |
R |
0.089462054472391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24453e1 89661f1 105963a1 |
Quadratic twists by: -3 -11 13 |