Atkin-Lehner |
3- 7- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
114807p |
Isogeny class |
Conductor |
114807 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-1993744244825487 = -1 · 34 · 79 · 112 · 712 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11+ 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,15605,2014289] |
[a1,a2,a3,a4,a6] |
Generators |
[-682:2395:8] |
Generators of the group modulo torsion |
j |
3572455244903/16946546463 |
j-invariant |
L |
13.02718604308 |
L(r)(E,1)/r! |
Ω |
0.33463564545146 |
Real period |
R |
2.4330914359483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005627 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16401a1 |
Quadratic twists by: -7 |