Atkin-Lehner |
2- 5- 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050cs |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-896504588000 = -1 · 25 · 53 · 74 · 173 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 1 6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1308,-49168] |
[a1,a2,a3,a4,a6] |
Generators |
[412:8124:1] |
Generators of the group modulo torsion |
j |
-1979965772693/7172036704 |
j-invariant |
L |
13.335243058564 |
L(r)(E,1)/r! |
Ω |
0.36386363998317 |
Real period |
R |
0.61081687146239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034313 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050bm1 |
Quadratic twists by: 5 |