Atkin-Lehner |
3+ 5- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
35805g |
Isogeny class |
Conductor |
35805 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
696320 |
Modular degree for the optimal curve |
Δ |
-9178075594192655535 = -1 · 3 · 5 · 72 · 114 · 318 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-83650,-146090530] |
[a1,a2,a3,a4,a6] |
j |
-64732424357313165601/9178075594192655535 |
j-invariant |
L |
1.6413834052799 |
L(r)(E,1)/r! |
Ω |
0.10258646283038 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
107415f1 |
Quadratic twists by: -3 |