Atkin-Lehner |
7+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
10199a |
Isogeny class |
Conductor |
10199 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2592 |
Modular degree for the optimal curve |
Δ |
171414593 = 76 · 31 · 47 |
Discriminant |
Eigenvalues |
-1 0 0 7+ 0 6 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-145,-192] |
[a1,a2,a3,a4,a6] |
j |
334978358625/171414593 |
j-invariant |
L |
0.72705330678032 |
L(r)(E,1)/r! |
Ω |
1.4541066135606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91791e1 71393b1 |
Quadratic twists by: -3 -7 |