Atkin-Lehner |
2+ 5- 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050ba |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-9500156750 = -1 · 2 · 53 · 76 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 3 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-571,6988] |
[a1,a2,a3,a4,a6] |
Generators |
[46:473:8] [92:811:1] |
Generators of the group modulo torsion |
j |
-164296466333/76001254 |
j-invariant |
L |
10.043353993246 |
L(r)(E,1)/r! |
Ω |
1.2092824835435 |
Real period |
R |
2.0763043636963 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000314 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050cw1 |
Quadratic twists by: 5 |