Atkin-Lehner |
5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
66785d |
Isogeny class |
Conductor |
66785 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42768 |
Modular degree for the optimal curve |
Δ |
8703487985 = 5 · 196 · 37 |
Discriminant |
Eigenvalues |
-1 2 5+ -2 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1271,16324] |
[a1,a2,a3,a4,a6] |
Generators |
[2334:19057:27] |
Generators of the group modulo torsion |
j |
4826809/185 |
j-invariant |
L |
4.3203663594732 |
L(r)(E,1)/r! |
Ω |
1.2934443061146 |
Real period |
R |
6.6804057024114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000726 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
185c1 |
Quadratic twists by: -19 |