Atkin-Lehner |
3- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
92055r |
Isogeny class |
Conductor |
92055 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
125280 |
Modular degree for the optimal curve |
Δ |
-38442628275 = -1 · 3 · 52 · 175 · 192 |
Discriminant |
Eigenvalues |
2 3- 5+ -2 1 3 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6,9431] |
[a1,a2,a3,a4,a6] |
Generators |
[16716:175121:1728] |
Generators of the group modulo torsion |
j |
-77824/106489275 |
j-invariant |
L |
14.148281114958 |
L(r)(E,1)/r! |
Ω |
0.91645809337133 |
Real period |
R |
7.7190005860793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966479 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92055d1 |
Quadratic twists by: -19 |