Atkin-Lehner |
2- 7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
78694y |
Isogeny class |
Conductor |
78694 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-221602304 = -1 · 29 · 72 · 112 · 73 |
Discriminant |
Eigenvalues |
2- -1 3 7- 11- -3 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-99,769] |
[a1,a2,a3,a4,a6] |
Generators |
[7:18:1] |
Generators of the group modulo torsion |
j |
-2191327873/4522496 |
j-invariant |
L |
10.189104967705 |
L(r)(E,1)/r! |
Ω |
1.5750479916323 |
Real period |
R |
0.35939310420971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001815 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78694o1 |
Quadratic twists by: -7 |