Atkin-Lehner |
3- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
92055q |
Isogeny class |
Conductor |
92055 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
2307865096130625 = 35 · 54 · 17 · 197 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 4 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-593311,175837760] |
[a1,a2,a3,a4,a6] |
Generators |
[3622:355:8] |
Generators of the group modulo torsion |
j |
490963665709369/49055625 |
j-invariant |
L |
6.7360110937522 |
L(r)(E,1)/r! |
Ω |
0.44130188237824 |
Real period |
R |
1.5263952782658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973763 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4845b1 |
Quadratic twists by: -19 |