Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600cc |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1437696 |
Modular degree for the optimal curve |
Δ |
-12879134720000000 = -1 · 225 · 57 · 173 |
Discriminant |
Eigenvalues |
2- 3 5+ 4 2 -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55675,-7441750] |
[a1,a2,a3,a4,a6] |
j |
-60698457/40960 |
j-invariant |
L |
9.6553291916498 |
L(r)(E,1)/r! |
Ω |
0.15086452189156 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14450bc1 23120bn1 115600cf1 |
Quadratic twists by: -4 5 17 |