Atkin-Lehner |
3+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
30129c |
Isogeny class |
Conductor |
30129 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-4852305579 = -1 · 3 · 117 · 83 |
Discriminant |
Eigenvalues |
0 3+ 3 2 11- 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,81,-3367] |
[a1,a2,a3,a4,a6] |
j |
32768/2739 |
j-invariant |
L |
2.6042123950312 |
L(r)(E,1)/r! |
Ω |
0.65105309875791 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90387q1 2739g1 |
Quadratic twists by: -3 -11 |