Atkin-Lehner |
2- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
8360o |
Isogeny class |
Conductor |
8360 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-55510238634076160 = -1 · 211 · 5 · 1111 · 19 |
Discriminant |
Eigenvalues |
2- 3 5+ -2 11- 3 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-119563,19537382] |
[a1,a2,a3,a4,a6] |
j |
-92296274330873538/27104608708045 |
j-invariant |
L |
3.6835948475425 |
L(r)(E,1)/r! |
Ω |
0.3348722588675 |
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 |
16720e1 66880ba1 75240r1 41800i1 |
Quadratic twists by: -4 8 -3 5 |