Atkin-Lehner |
3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7605q |
Isogeny class |
Conductor |
7605 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-12370583534765625 = -1 · 38 · 58 · 136 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,53203,2501646] |
[a1,a2,a3,a4,a6] |
Generators |
[36:2094:1] |
Generators of the group modulo torsion |
j |
4733169839/3515625 |
j-invariant |
L |
2.5920412169462 |
L(r)(E,1)/r! |
Ω |
0.25560332005569 |
Real period |
R |
0.6338046627244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680en5 2535a6 38025bc5 45a6 |
Quadratic twists by: -4 -3 5 13 |