Atkin-Lehner |
2- 5- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
107690bg |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
411840 |
Modular degree for the optimal curve |
Δ |
-52464336124750 = -1 · 2 · 53 · 119 · 89 |
Discriminant |
Eigenvalues |
2- -2 5- -4 11+ -1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6960,-414578] |
[a1,a2,a3,a4,a6] |
j |
-15813251/22250 |
j-invariant |
L |
1.4917466762298 |
L(r)(E,1)/r! |
Ω |
0.2486244916399 |
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 |
107690p1 |
Quadratic twists by: -11 |