Atkin-Lehner |
2- 5- 19- 103- |
Signs for the Atkin-Lehner involutions |
Class |
97850t |
Isogeny class |
Conductor |
97850 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1085440 |
Modular degree for the optimal curve |
Δ |
-557374247786438000 = -1 · 24 · 53 · 195 · 1034 |
Discriminant |
Eigenvalues |
2- 0 5- -2 4 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,187200,17795027] |
[a1,a2,a3,a4,a6] |
Generators |
[1763:75441:1] |
Generators of the group modulo torsion |
j |
5804080232683299867/4458993982291504 |
j-invariant |
L |
9.3733772376501 |
L(r)(E,1)/r! |
Ω |
0.18691587697704 |
Real period |
R |
1.2536892801355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999866864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97850e1 |
Quadratic twists by: 5 |