Atkin-Lehner |
2- 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
49490j |
Isogeny class |
Conductor |
49490 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-1304228578240 = -1 · 26 · 5 · 79 · 101 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -4 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2694,-10844] |
[a1,a2,a3,a4,a6] |
Generators |
[8:102:1] |
Generators of the group modulo torsion |
j |
53582633/32320 |
j-invariant |
L |
4.6079887251068 |
L(r)(E,1)/r! |
Ω |
0.49946749128836 |
Real period |
R |
3.0752676970854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999928 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49490t1 |
Quadratic twists by: -7 |