Atkin-Lehner |
3+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
30129b |
Isogeny class |
Conductor |
30129 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
994257 = 32 · 113 · 83 |
Discriminant |
Eigenvalues |
-1 3+ -4 -2 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-30,-54] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:6:1] [-18:27:8] |
Generators of the group modulo torsion |
j |
2248091/747 |
j-invariant |
L |
3.2050112380699 |
L(r)(E,1)/r! |
Ω |
2.0940039739684 |
Real period |
R |
1.5305659769099 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90387g1 30129a1 |
Quadratic twists by: -3 -11 |