Atkin-Lehner |
5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
88445bk |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
196992 |
Modular degree for the optimal curve |
Δ |
99777015625 = 56 · 72 · 194 |
Discriminant |
Eigenvalues |
-1 1 5- 7- -5 3 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-37010,-2743525] |
[a1,a2,a3,a4,a6] |
Generators |
[-890:495:8] |
Generators of the group modulo torsion |
j |
877952898529/15625 |
j-invariant |
L |
4.0779026175834 |
L(r)(E,1)/r! |
Ω |
0.34420738668397 |
Real period |
R |
1.9745376225301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019181 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88445b1 88445bt1 |
Quadratic twists by: -7 -19 |