Atkin-Lehner |
2+ 3- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
14058c |
Isogeny class |
Conductor |
14058 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
-129866229504 = -1 · 28 · 310 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1179,7317] |
[a1,a2,a3,a4,a6] |
Generators |
[21:192:1] |
Generators of the group modulo torsion |
j |
248502281903/178142976 |
j-invariant |
L |
4.5087321331036 |
L(r)(E,1)/r! |
Ω |
0.6612053280365 |
Real period |
R |
1.7047397918331 |
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 |
112464bg1 4686c1 |
Quadratic twists by: -4 -3 |