Atkin-Lehner |
2- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129200cu |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
331200 |
Modular degree for the optimal curve |
Δ |
-107759828480000 = -1 · 212 · 54 · 17 · 195 |
Discriminant |
Eigenvalues |
2- -1 5- -2 -2 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11867,39437] |
[a1,a2,a3,a4,a6] |
j |
72188825600/42093683 |
j-invariant |
L |
1.7958638612034 |
L(r)(E,1)/r! |
Ω |
0.35917271911958 |
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 |
8075g1 129200cg2 |
Quadratic twists by: -4 5 |