Atkin-Lehner |
2- 3- 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
91632r |
Isogeny class |
Conductor |
91632 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
3339802268061696 = 212 · 32 · 23 · 835 |
Discriminant |
Eigenvalues |
2- 3- -1 4 6 0 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40981,-1583869] |
[a1,a2,a3,a4,a6] |
Generators |
[70183006:2584567227:50653] |
Generators of the group modulo torsion |
j |
1858326485008384/815381413101 |
j-invariant |
L |
10.151352376574 |
L(r)(E,1)/r! |
Ω |
0.34934650762761 |
Real period |
R |
14.529059474104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5727e1 |
Quadratic twists by: -4 |