Atkin-Lehner |
2- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
14014h |
Isogeny class |
Conductor |
14014 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
39600 |
Modular degree for the optimal curve |
Δ |
-169137672607904 = -1 · 25 · 76 · 112 · 135 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 11- 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,13719,-93703] |
[a1,a2,a3,a4,a6] |
j |
2427173723519/1437646496 |
j-invariant |
L |
3.3520453073755 |
L(r)(E,1)/r! |
Ω |
0.33520453073755 |
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 |
112112bc1 126126br1 286d1 |
Quadratic twists by: -4 -3 -7 |