Atkin-Lehner |
2- 5+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
113300c |
Isogeny class |
Conductor |
113300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
672000 |
Modular degree for the optimal curve |
Δ |
-6834360236000000 = -1 · 28 · 56 · 115 · 1032 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,32467,-3267937] |
[a1,a2,a3,a4,a6] |
j |
946186674176/1708590059 |
j-invariant |
L |
3.9690794705688 |
L(r)(E,1)/r! |
Ω |
0.22050437510255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4532a1 |
Quadratic twists by: 5 |