Atkin-Lehner |
2+ 5- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
107690t |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
204800 |
Modular degree for the optimal curve |
Δ |
1009081145600 = 28 · 52 · 116 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6254,-182572] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:81:1] [92:74:1] |
Generators of the group modulo torsion |
j |
15271450641/569600 |
j-invariant |
L |
7.3693332589529 |
L(r)(E,1)/r! |
Ω |
0.53808704432739 |
Real period |
R |
3.4238574105876 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002588 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
890h1 |
Quadratic twists by: -11 |