Atkin-Lehner |
2- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
40880p |
Isogeny class |
Conductor |
40880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-366284800000 = -1 · 215 · 55 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 2 2 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31883,2191418] |
[a1,a2,a3,a4,a6] |
Generators |
[103:-14:1] |
Generators of the group modulo torsion |
j |
-875066990644449/89425000 |
j-invariant |
L |
5.2391217535907 |
L(r)(E,1)/r! |
Ω |
0.91528917289646 |
Real period |
R |
1.4310017830246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5110d1 |
Quadratic twists by: -4 |