Atkin-Lehner |
2+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
15184b |
Isogeny class |
Conductor |
15184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6784 |
Modular degree for the optimal curve |
Δ |
3158272 = 28 · 132 · 73 |
Discriminant |
Eigenvalues |
2+ 0 -2 2 -6 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4111,101454] |
[a1,a2,a3,a4,a6] |
Generators |
[1:312:1] |
Generators of the group modulo torsion |
j |
30014158880592/12337 |
j-invariant |
L |
3.8119191178238 |
L(r)(E,1)/r! |
Ω |
2.0508526392098 |
Real period |
R |
1.858699667126 |
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 |
7592c1 60736f1 |
Quadratic twists by: -4 8 |