Atkin-Lehner |
3+ 7+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
14007d |
Isogeny class |
Conductor |
14007 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-8895907511504307 = -1 · 313 · 73 · 23 · 294 |
Discriminant |
Eigenvalues |
2 3+ 0 7+ 1 6 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,38222,-3522741] |
[a1,a2,a3,a4,a6] |
Generators |
[989406:9651299:10648] |
Generators of the group modulo torsion |
j |
6175221985401344000/8895907511504307 |
j-invariant |
L |
8.013786585708 |
L(r)(E,1)/r! |
Ω |
0.21839987156403 |
Real period |
R |
9.1732959002205 |
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 |
42021d1 98049z1 |
Quadratic twists by: -3 -7 |