Atkin-Lehner |
2+ 3- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
116280h |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-886220196914160 = -1 · 24 · 36 · 5 · 17 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 2 -5 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29883,-2450473] |
[a1,a2,a3,a4,a6] |
j |
-253016466094336/75979097815 |
j-invariant |
L |
0.71518184615401 |
L(r)(E,1)/r! |
Ω |
0.17879543897636 |
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 |
12920o1 |
Quadratic twists by: -3 |