Atkin-Lehner |
2- 3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
36630bq |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-77391281034136080 = -1 · 24 · 315 · 5 · 113 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-834332,-293426449] |
[a1,a2,a3,a4,a6] |
j |
-88107402579857023609/106160879333520 |
j-invariant |
L |
5.6863815609311 |
L(r)(E,1)/r! |
Ω |
0.078977521679681 |
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 |
12210m1 |
Quadratic twists by: -3 |