Atkin-Lehner |
2- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115192w |
Isogeny class |
Conductor |
115192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
768000 |
Modular degree for the optimal curve |
Δ |
-53730723807050752 = -1 · 210 · 7 · 1110 · 172 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11- 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,42552,-10642564] |
[a1,a2,a3,a4,a6] |
Generators |
[3379217593:234139575978:704969] |
Generators of the group modulo torsion |
j |
4696965500/29618743 |
j-invariant |
L |
9.6758694517615 |
L(r)(E,1)/r! |
Ω |
0.17701616153982 |
Real period |
R |
13.665234524532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003582 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10472d1 |
Quadratic twists by: -11 |