Atkin-Lehner |
2+ 3+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30192d |
Isogeny class |
Conductor |
30192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-34781184 = -1 · 211 · 33 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -2 0 1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16,-288] |
[a1,a2,a3,a4,a6] |
j |
207646/16983 |
j-invariant |
L |
1.9655180005969 |
L(r)(E,1)/r! |
Ω |
0.98275900029842 |
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 |
15096i1 120768dx1 90576e1 |
Quadratic twists by: -4 8 -3 |