Atkin-Lehner |
2+ 7- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
113386o |
Isogeny class |
Conductor |
113386 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1044480 |
Modular degree for the optimal curve |
Δ |
-4350679265494016 = -1 · 210 · 710 · 132 · 89 |
Discriminant |
Eigenvalues |
2+ 3 1 7- -2 13- 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,23756,2837456] |
[a1,a2,a3,a4,a6] |
j |
12602164331511/36980163584 |
j-invariant |
L |
4.9207143106108 |
L(r)(E,1)/r! |
Ω |
0.30754465132245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16198d1 |
Quadratic twists by: -7 |