Atkin-Lehner |
2- 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
9090o |
Isogeny class |
Conductor |
9090 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
-208455126220800 = -1 · 222 · 39 · 52 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17012,1105111] |
[a1,a2,a3,a4,a6] |
Generators |
[61:509:1] |
Generators of the group modulo torsion |
j |
-27661428758907/10590617600 |
j-invariant |
L |
6.6469052766908 |
L(r)(E,1)/r! |
Ω |
0.52892953748962 |
Real period |
R |
0.57121419133703 |
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 |
72720bd1 9090b1 45450c1 |
Quadratic twists by: -4 -3 5 |