Atkin-Lehner |
2- 5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
49490k |
Isogeny class |
Conductor |
49490 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-594127450000000 = -1 · 27 · 58 · 76 · 101 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,20987,70781] |
[a1,a2,a3,a4,a6] |
j |
8689723536879/5050000000 |
j-invariant |
L |
4.3488103175312 |
L(r)(E,1)/r! |
Ω |
0.31062930838961 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1010a1 |
Quadratic twists by: -7 |