Atkin-Lehner |
2- 5- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040cj |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
2109341696000 = 220 · 53 · 7 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11+ 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6480,190400] |
[a1,a2,a3,a4,a6] |
j |
7347774183121/514976000 |
j-invariant |
L |
4.8542010323661 |
L(r)(E,1)/r! |
Ω |
0.80903342596202 |
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 |
14630w1 |
Quadratic twists by: -4 |