Atkin-Lehner |
2+ 3+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62832f |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2558213425152 = -1 · 211 · 36 · 72 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,408,76752] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:238:1] |
Generators of the group modulo torsion |
j |
3658553134/1249127649 |
j-invariant |
L |
5.765751370491 |
L(r)(E,1)/r! |
Ω |
0.63010299444894 |
Real period |
R |
1.1438112937698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000312 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31416i2 |
Quadratic twists by: -4 |