Atkin-Lehner |
2+ 3+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
15642b |
Isogeny class |
Conductor |
15642 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5088 |
Modular degree for the optimal curve |
Δ |
-34209054 = -1 · 2 · 39 · 11 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 3 4 11- 1 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12,278] |
[a1,a2,a3,a4,a6] |
j |
9261/1738 |
j-invariant |
L |
3.1939052419379 |
L(r)(E,1)/r! |
Ω |
1.5969526209689 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125136i1 15642e1 |
Quadratic twists by: -4 -3 |