Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
15190w |
Isogeny class |
Conductor |
15190 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
51072 |
Modular degree for the optimal curve |
Δ |
-443197900880 = -1 · 24 · 5 · 78 · 312 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ -4 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1308,37167] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1451:1] |
Generators of the group modulo torsion |
j |
-42899409/76880 |
j-invariant |
L |
3.6708569559155 |
L(r)(E,1)/r! |
Ω |
0.8397047806015 |
Real period |
R |
0.18215017551 |
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 |
121520bc1 75950g1 15190bf1 |
Quadratic twists by: -4 5 -7 |