Atkin-Lehner |
2- 29- |
Signs for the Atkin-Lehner involutions |
Class |
1682j |
Isogeny class |
Conductor |
1682 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
8700 |
Modular degree for the optimal curve |
Δ |
16007885214752 = 25 · 298 |
Discriminant |
Eigenvalues |
2- 2 -2 -5 0 2 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-39124,-2988683] |
[a1,a2,a3,a4,a6] |
Generators |
[-3165:3251:27] |
Generators of the group modulo torsion |
j |
13239457/32 |
j-invariant |
L |
4.4272351750129 |
L(r)(E,1)/r! |
Ω |
0.33950936844252 |
Real period |
R |
0.86933981533853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13456p1 53824p1 15138o1 42050o1 |
Quadratic twists by: -4 8 -3 5 |