Atkin-Lehner |
2- 7+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
113386p |
Isogeny class |
Conductor |
113386 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
211680 |
Modular degree for the optimal curve |
Δ |
-693666974728 = -1 · 23 · 78 · 132 · 89 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 1 13+ -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6796,221015] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:667:1] |
Generators of the group modulo torsion |
j |
-6020597457/120328 |
j-invariant |
L |
7.4618871908741 |
L(r)(E,1)/r! |
Ω |
0.90569574599858 |
Real period |
R |
0.45771363326077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999481862 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113386v1 |
Quadratic twists by: -7 |