Atkin-Lehner |
2- 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
14910bh |
Isogeny class |
Conductor |
14910 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-7817134080 = -1 · 220 · 3 · 5 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-186,-4380] |
[a1,a2,a3,a4,a6] |
Generators |
[56:374:1] |
Generators of the group modulo torsion |
j |
-711882749089/7817134080 |
j-invariant |
L |
8.2929535731377 |
L(r)(E,1)/r! |
Ω |
0.55949637484778 |
Real period |
R |
2.964435140583 |
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 |
119280w1 44730v1 74550o1 104370da1 |
Quadratic twists by: -4 -3 5 -7 |