Atkin-Lehner |
3+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
30129g |
Isogeny class |
Conductor |
30129 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
-441118689 = -1 · 3 · 116 · 83 |
Discriminant |
Eigenvalues |
-1 3+ -1 4 11- -2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,179,-340] |
[a1,a2,a3,a4,a6] |
Generators |
[4:19:1] |
Generators of the group modulo torsion |
j |
357911/249 |
j-invariant |
L |
2.5774887590561 |
L(r)(E,1)/r! |
Ω |
0.94461270141341 |
Real period |
R |
2.7286196291871 |
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 |
90387i1 249b1 |
Quadratic twists by: -3 -11 |