Atkin-Lehner |
3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14025i |
Isogeny class |
Conductor |
14025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-236671875 = -1 · 34 · 56 · 11 · 17 |
Discriminant |
Eigenvalues |
2 3+ 5+ 3 11- 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-208,1443] |
[a1,a2,a3,a4,a6] |
Generators |
[26:221:8] |
Generators of the group modulo torsion |
j |
-64000000/15147 |
j-invariant |
L |
8.9998074967691 |
L(r)(E,1)/r! |
Ω |
1.6795808917558 |
Real period |
R |
1.3395912547208 |
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 |
42075y1 561c1 |
Quadratic twists by: -3 5 |