Atkin-Lehner |
2- 3- 5+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119850cj |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1022976 |
Modular degree for the optimal curve |
Δ |
9572054706562500 = 22 · 33 · 57 · 176 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-85188,-8339508] |
[a1,a2,a3,a4,a6] |
Generators |
[-954:3327:8] |
Generators of the group modulo torsion |
j |
4375616702127481/612611501220 |
j-invariant |
L |
13.533201525949 |
L(r)(E,1)/r! |
Ω |
0.28205109955454 |
Real period |
R |
3.9984484716868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970c1 |
Quadratic twists by: 5 |