Atkin-Lehner |
3+ 7+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
17157b |
Isogeny class |
Conductor |
17157 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3831360 |
Modular degree for the optimal curve |
Δ |
-6.6099501248395E+24 |
Discriminant |
Eigenvalues |
-2 3+ -2 7+ -3 -1 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,23720816,-115435171854] |
[a1,a2,a3,a4,a6] |
j |
1476089082391518074833399808/6609950124839549929522683 |
j-invariant |
L |
0.30307880463621 |
L(r)(E,1)/r! |
Ω |
0.037884850579526 |
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 |
51471i1 120099p1 |
Quadratic twists by: -3 -7 |