Atkin-Lehner |
2- 3+ 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
72624p |
Isogeny class |
Conductor |
72624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9966045286637568 = -1 · 213 · 312 · 172 · 892 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -4 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,27696,4454208] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:1958:1] |
Generators of the group modulo torsion |
j |
573586914339503/2433116525058 |
j-invariant |
L |
3.0625229771843 |
L(r)(E,1)/r! |
Ω |
0.29142469257009 |
Real period |
R |
2.6271992865547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985827 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9078j2 |
Quadratic twists by: -4 |