Atkin-Lehner |
5- 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
14105b |
Isogeny class |
Conductor |
14105 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-2506943359375 = -1 · 510 · 72 · 132 · 31 |
Discriminant |
Eigenvalues |
1 2 5- 7+ -6 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7182,-249361] |
[a1,a2,a3,a4,a6] |
j |
-40978343181583081/2506943359375 |
j-invariant |
L |
2.5838337617062 |
L(r)(E,1)/r! |
Ω |
0.25838337617062 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126945g1 70525k1 98735f1 |
Quadratic twists by: -3 5 -7 |