Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440fo |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-4145239800000 = -1 · 26 · 313 · 55 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 13- 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100902,-12337054] |
[a1,a2,a3,a4,a6] |
Generators |
[2797:146925:1] |
Generators of the group modulo torsion |
j |
-2435092894982656/88846875 |
j-invariant |
L |
6.6563942529036 |
L(r)(E,1)/r! |
Ω |
0.13393487128561 |
Real period |
R |
4.9698739312693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37440fq1 18720bb1 12480bt1 |
Quadratic twists by: -4 8 -3 |