Atkin-Lehner |
5- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
114155k |
Isogeny class |
Conductor |
114155 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1016064 |
Modular degree for the optimal curve |
Δ |
-1171055280407875 = -1 · 53 · 179 · 79 |
Discriminant |
Eigenvalues |
2 -2 5- -2 2 -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1830,1646109] |
[a1,a2,a3,a4,a6] |
Generators |
[-422:10111:8] |
Generators of the group modulo torsion |
j |
-28094464/48515875 |
j-invariant |
L |
6.4635791956664 |
L(r)(E,1)/r! |
Ω |
0.39231735748153 |
Real period |
R |
2.7458973494809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000066965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6715a1 |
Quadratic twists by: 17 |