Atkin-Lehner |
2- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87616bt |
Isogeny class |
Conductor |
87616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-3241792 = -1 · 26 · 373 |
Discriminant |
Eigenvalues |
2- 0 4 0 0 -4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,37,0] |
[a1,a2,a3,a4,a6] |
Generators |
[684030:3540799:27000] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
7.6321676772184 |
L(r)(E,1)/r! |
Ω |
1.5035116135359 |
Real period |
R |
10.152455904831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997125 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87616bt1 43808q2 87616bu1 |
Quadratic twists by: -4 8 37 |