Atkin-Lehner |
5+ 19+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
7505b |
Isogeny class |
Conductor |
7505 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1568 |
Modular degree for the optimal curve |
Δ |
-142595 = -1 · 5 · 192 · 79 |
Discriminant |
Eigenvalues |
0 -3 5+ -1 -3 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-148,693] |
[a1,a2,a3,a4,a6] |
Generators |
[9:9:1] |
Generators of the group modulo torsion |
j |
-358516260864/142595 |
j-invariant |
L |
1.2083249859557 |
L(r)(E,1)/r! |
Ω |
3.2105225797095 |
Real period |
R |
0.18818197909467 |
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 |
120080g1 67545h1 37525b1 |
Quadratic twists by: -4 -3 5 |