Atkin-Lehner |
2+ 3+ 5- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850q |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
178705338750 = 2 · 34 · 54 · 17 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 3 -1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8800,313450] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-2:1] |
Generators of the group modulo torsion |
j |
120605974156825/285928542 |
j-invariant |
L |
4.375477158669 |
L(r)(E,1)/r! |
Ω |
1.0161130652788 |
Real period |
R |
0.71768213669704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999629263 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119850cl1 |
Quadratic twists by: 5 |