Atkin-Lehner |
2- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
116800cj |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
1868800 = 210 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 -2 2 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-193,-1097] |
[a1,a2,a3,a4,a6] |
Generators |
[3570:16537:125] |
Generators of the group modulo torsion |
j |
31217920/73 |
j-invariant |
L |
8.7427885782899 |
L(r)(E,1)/r! |
Ω |
1.2805127103569 |
Real period |
R |
6.8275687695175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999863736 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800r1 29200b1 116800cs1 |
Quadratic twists by: -4 8 5 |