Atkin-Lehner |
2+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
14014c |
Isogeny class |
Conductor |
14014 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9072 |
Modular degree for the optimal curve |
Δ |
-1480495016 = -1 · 23 · 76 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 1 1 7- 11+ 13- 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1643,-25826] |
[a1,a2,a3,a4,a6] |
Generators |
[958:29149:1] |
Generators of the group modulo torsion |
j |
-4165509529/12584 |
j-invariant |
L |
4.2664357563773 |
L(r)(E,1)/r! |
Ω |
0.37489812402931 |
Real period |
R |
5.6901268410238 |
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 |
112112bs1 126126fv1 286c1 |
Quadratic twists by: -4 -3 -7 |