Atkin-Lehner |
2+ 3+ 7+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
23142g |
Isogeny class |
Conductor |
23142 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
51004968 = 23 · 3 · 7 · 192 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-884,-10488] |
[a1,a2,a3,a4,a6] |
Generators |
[39:108:1] |
Generators of the group modulo torsion |
j |
76532854417993/51004968 |
j-invariant |
L |
3.533168378172 |
L(r)(E,1)/r! |
Ω |
0.8754672641976 |
Real period |
R |
4.0357515610938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69426bn2 |
Quadratic twists by: -3 |