Atkin-Lehner |
2+ 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240bp |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
44900889600 = 210 · 3 · 52 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1085,-8883] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:40:1] [37:16:1] |
Generators of the group modulo torsion |
j |
138074404864/43848525 |
j-invariant |
L |
10.08843269275 |
L(r)(E,1)/r! |
Ω |
0.85261878366739 |
Real period |
R |
5.9161449908298 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000582 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240ks1 14280bt1 |
Quadratic twists by: -4 8 |