Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
114660bn |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
-153636790927576320 = -1 · 28 · 36 · 5 · 78 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-167727,32475926] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:6370:1] |
Generators of the group modulo torsion |
j |
-485043664/142805 |
j-invariant |
L |
8.430620839798 |
L(r)(E,1)/r! |
Ω |
0.307611064695 |
Real period |
R |
0.76129872549341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030601 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12740b1 114660v1 |
Quadratic twists by: -3 -7 |