Atkin-Lehner |
2+ 5- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
107690o |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3326400 |
Modular degree for the optimal curve |
Δ |
-134308700479360 = -1 · 27 · 5 · 119 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 11+ -5 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10565118,13216932848] |
[a1,a2,a3,a4,a6] |
Generators |
[10486:316855:8] |
Generators of the group modulo torsion |
j |
-55311131451304331/56960 |
j-invariant |
L |
3.3883875516218 |
L(r)(E,1)/r! |
Ω |
0.36786298053093 |
Real period |
R |
4.6055023138872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998098342 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107690bf1 |
Quadratic twists by: -11 |