Atkin-Lehner |
2+ 7+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48314c |
Isogeny class |
Conductor |
48314 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
23755200 |
Modular degree for the optimal curve |
Δ |
-2.3652375821083E+26 |
Discriminant |
Eigenvalues |
2+ 2 1 7+ -6 0 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,136077483,417442908653] |
[a1,a2,a3,a4,a6] |
Generators |
[26039:4636370:1] |
Generators of the group modulo torsion |
j |
48339058774879738197479/41028954548617609216 |
j-invariant |
L |
6.0215405777574 |
L(r)(E,1)/r! |
Ω |
0.036112974884135 |
Real period |
R |
5.5580582852007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48314i1 |
Quadratic twists by: -7 |