Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
1830k |
Isogeny class |
Conductor |
1830 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
792 |
Modular degree for the optimal curve |
Δ |
-4216320 = -1 · 29 · 33 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 6 -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,34,-60] |
[a1,a2,a3,a4,a6] |
j |
4338722591/4216320 |
j-invariant |
L |
4.0292235206918 |
L(r)(E,1)/r! |
Ω |
1.3430745068973 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
14640w1 58560q1 5490l1 9150e1 |
Quadratic twists by: -4 8 -3 5 |