Atkin-Lehner |
3+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
30129k |
Isogeny class |
Conductor |
30129 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-5284160775531 = -1 · 33 · 119 · 83 |
Discriminant |
Eigenvalues |
-2 3+ 1 0 11- 6 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-14560,690084] |
[a1,a2,a3,a4,a6] |
Generators |
[59:181:1] |
Generators of the group modulo torsion |
j |
-192699928576/2982771 |
j-invariant |
L |
2.594295591723 |
L(r)(E,1)/r! |
Ω |
0.76622926933211 |
Real period |
R |
1.6928977367207 |
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 |
90387p1 2739b1 |
Quadratic twists by: -3 -11 |