Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30096o |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-1444608 = -1 · 28 · 33 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11- 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24,-36] |
[a1,a2,a3,a4,a6] |
Generators |
[6:18:1] |
Generators of the group modulo torsion |
j |
221184/209 |
j-invariant |
L |
5.742217696533 |
L(r)(E,1)/r! |
Ω |
1.4719329121881 |
Real period |
R |
0.97528522682414 |
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 |
7524b1 120384cd1 30096k1 |
Quadratic twists by: -4 8 -3 |