Atkin-Lehner |
2+ 3+ 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82650j |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
753768000 = 26 · 32 · 53 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 2 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1130,14100] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-60:1] |
Generators of the group modulo torsion |
j |
1278348920477/6030144 |
j-invariant |
L |
4.08023722231 |
L(r)(E,1)/r! |
Ω |
1.607095718396 |
Real period |
R |
0.63472218478065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000447 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82650cw1 |
Quadratic twists by: 5 |