Atkin-Lehner |
3- 5+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
46215d |
Isogeny class |
Conductor |
46215 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-168676876119375 = -1 · 39 · 54 · 133 · 792 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5197,-609294] |
[a1,a2,a3,a4,a6] |
Generators |
[90:717:1] [113:1131:1] |
Generators of the group modulo torsion |
j |
21297698535959/231381174375 |
j-invariant |
L |
5.7931006244711 |
L(r)(E,1)/r! |
Ω |
0.28209380707126 |
Real period |
R |
5.1340196764842 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15405b1 |
Quadratic twists by: -3 |