Atkin-Lehner |
2- 3+ 23- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
36846r |
Isogeny class |
Conductor |
36846 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
37152 |
Modular degree for the optimal curve |
Δ |
-322328808 = -1 · 23 · 39 · 23 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 -5 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,133,595] |
[a1,a2,a3,a4,a6] |
Generators |
[1:26:1] |
Generators of the group modulo torsion |
j |
13312053/16376 |
j-invariant |
L |
4.0526526243801 |
L(r)(E,1)/r! |
Ω |
1.149757509331 |
Real period |
R |
0.58746483374255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36846b1 |
Quadratic twists by: -3 |