Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
94640j |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
6387756783278474240 = 210 · 5 · 76 · 139 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -2 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-464243,6032962] |
[a1,a2,a3,a4,a6] |
Generators |
[-663:4732:1] [-3471:215306:27] |
Generators of the group modulo torsion |
j |
2238719766084/1292374265 |
j-invariant |
L |
10.558673700351 |
L(r)(E,1)/r! |
Ω |
0.20225138102932 |
Real period |
R |
2.1752372480591 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000642 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47320r1 7280f1 |
Quadratic twists by: -4 13 |