Atkin-Lehner |
3- 7- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
39627i |
Isogeny class |
Conductor |
39627 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-2673752571 = -1 · 36 · 73 · 172 · 37 |
Discriminant |
Eigenvalues |
-2 3- -3 7- -1 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-369,3692] |
[a1,a2,a3,a4,a6] |
Generators |
[12:31:1] [-15:76:1] |
Generators of the group modulo torsion |
j |
-7622111232/3667699 |
j-invariant |
L |
4.2245676101219 |
L(r)(E,1)/r! |
Ω |
1.3423140008666 |
Real period |
R |
0.26226896286268 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4403d1 |
Quadratic twists by: -3 |