Atkin-Lehner |
2- 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104720x |
Isogeny class |
Conductor |
104720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
-15393521651200000 = -1 · 212 · 55 · 7 · 112 · 175 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11- 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19179,5887555] |
[a1,a2,a3,a4,a6] |
j |
190466673606656/3758183996875 |
j-invariant |
L |
0.58737833730569 |
L(r)(E,1)/r! |
Ω |
0.29368915411299 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6545a1 |
Quadratic twists by: -4 |