Atkin-Lehner |
2- 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19074n |
Isogeny class |
Conductor |
19074 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
2.6917397042665E+23 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11+ -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-59374478,-174341906485] |
[a1,a2,a3,a4,a6] |
j |
959024269496848362625/11151660319506432 |
j-invariant |
L |
1.6327741480859 |
L(r)(E,1)/r! |
Ω |
0.054425804936195 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57222s1 1122m1 |
Quadratic twists by: -3 17 |