Atkin-Lehner |
2+ 3+ 5- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18870h |
Isogeny class |
Conductor |
18870 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-60283578577500 = -1 · 22 · 33 · 54 · 176 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,9733,58569] |
[a1,a2,a3,a4,a6] |
Generators |
[28:581:1] |
Generators of the group modulo torsion |
j |
101951626875700679/60283578577500 |
j-invariant |
L |
3.8282509156165 |
L(r)(E,1)/r! |
Ω |
0.37998809017314 |
Real period |
R |
0.83955502260438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56610s1 94350bv1 |
Quadratic twists by: -3 5 |