Atkin-Lehner |
2- 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650da |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
8048250000 = 24 · 32 · 56 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1763,28017] |
[a1,a2,a3,a4,a6] |
Generators |
[16:55:1] |
Generators of the group modulo torsion |
j |
38786091625/515088 |
j-invariant |
L |
12.101426496205 |
L(r)(E,1)/r! |
Ω |
1.316645625759 |
Real period |
R |
1.1488879637624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000335 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3066b1 |
Quadratic twists by: 5 |