Atkin-Lehner |
2- 5+ 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050bs |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
123904 |
Modular degree for the optimal curve |
Δ |
-72352000000 = -1 · 211 · 56 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 2 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2455,-47953] |
[a1,a2,a3,a4,a6] |
Generators |
[59:70:1] |
Generators of the group modulo torsion |
j |
-104686895097/4630528 |
j-invariant |
L |
10.053091704516 |
L(r)(E,1)/r! |
Ω |
0.33825863846042 |
Real period |
R |
1.3509151337423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000578 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4522d1 |
Quadratic twists by: 5 |