Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600ct |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-144500000000 = -1 · 28 · 59 · 172 |
Discriminant |
Eigenvalues |
2- 1 5- -3 6 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-708,-19912] |
[a1,a2,a3,a4,a6] |
Generators |
[212279:879250:4913] |
Generators of the group modulo torsion |
j |
-272 |
j-invariant |
L |
6.2742579279024 |
L(r)(E,1)/r! |
Ω |
0.42387657015974 |
Real period |
R |
7.4010435266257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28900j1 115600da1 115600df1 |
Quadratic twists by: -4 5 17 |