Atkin-Lehner |
3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
113715l |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-8049710731183213995 = -1 · 37 · 5 · 77 · 197 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 4 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,177612,-133429842] |
[a1,a2,a3,a4,a6] |
Generators |
[518:9877:1] |
Generators of the group modulo torsion |
j |
18067226624/234709755 |
j-invariant |
L |
4.9857021094018 |
L(r)(E,1)/r! |
Ω |
0.11447425989554 |
Real period |
R |
5.4441301205992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999573921 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37905s1 5985g1 |
Quadratic twists by: -3 -19 |