Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37026bi |
Isogeny class |
Conductor |
37026 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
807189218613854208 = 216 · 37 · 117 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-309299,50228115] |
[a1,a2,a3,a4,a6] |
Generators |
[-525:8490:1] |
Generators of the group modulo torsion |
j |
2533811507137/625016832 |
j-invariant |
L |
10.792170097579 |
L(r)(E,1)/r! |
Ω |
0.2652153680564 |
Real period |
R |
1.2716281036835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12342d1 3366h1 |
Quadratic twists by: -3 -11 |