Atkin-Lehner |
3+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
92055d |
Isogeny class |
Conductor |
92055 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2380320 |
Modular degree for the optimal curve |
Δ |
-1808567315152885275 = -1 · 3 · 52 · 175 · 198 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -2 1 -3 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2286,-64702408] |
[a1,a2,a3,a4,a6] |
Generators |
[421:2962:1] |
Generators of the group modulo torsion |
j |
-77824/106489275 |
j-invariant |
L |
1.3955415205914 |
L(r)(E,1)/r! |
Ω |
0.12103533272442 |
Real period |
R |
5.7650170280865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000087984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92055r1 |
Quadratic twists by: -19 |