Atkin-Lehner |
3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8325ba |
Isogeny class |
Conductor |
8325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-151571401875 = -1 · 311 · 54 · 372 |
Discriminant |
Eigenvalues |
0 3- 5- 1 2 -1 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-750,20331] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:166:1] |
Generators of the group modulo torsion |
j |
-102400000/332667 |
j-invariant |
L |
3.6106464856281 |
L(r)(E,1)/r! |
Ω |
0.90188876674939 |
Real period |
R |
1.0008569290207 |
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 |
2775h1 8325u1 |
Quadratic twists by: -3 5 |