Atkin-Lehner |
2+ 3+ 31- 83- |
Signs for the Atkin-Lehner involutions |
Class |
15438c |
Isogeny class |
Conductor |
15438 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
23296 |
Modular degree for the optimal curve |
Δ |
525080714112 = 27 · 313 · 31 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 -1 4 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2166,-17964] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:159:1] |
Generators of the group modulo torsion |
j |
1124636879287657/525080714112 |
j-invariant |
L |
2.8939756518024 |
L(r)(E,1)/r! |
Ω |
0.73208607369192 |
Real period |
R |
3.9530538222208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123504bf1 46314bd1 |
Quadratic twists by: -4 -3 |