Atkin-Lehner |
2- 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
109564l |
Isogeny class |
Conductor |
109564 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-13865204945283328 = -1 · 28 · 713 · 13 · 43 |
Discriminant |
Eigenvalues |
2- -2 -2 7- -5 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28044,-5956028] |
[a1,a2,a3,a4,a6] |
Generators |
[1052:33614:1] [688:17346:1] |
Generators of the group modulo torsion |
j |
-80989901008/460360537 |
j-invariant |
L |
6.0540450272593 |
L(r)(E,1)/r! |
Ω |
0.16546714871729 |
Real period |
R |
3.0489662517427 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001199 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15652d1 |
Quadratic twists by: -7 |