Atkin-Lehner |
2- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
21350r |
Isogeny class |
Conductor |
21350 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
4982686912000000 = 212 · 56 · 73 · 613 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -3 4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-70013,6240531] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:3072:1] |
Generators of the group modulo torsion |
j |
2429070588015625/318891962368 |
j-invariant |
L |
5.8191088135597 |
L(r)(E,1)/r! |
Ω |
0.41609075701174 |
Real period |
R |
0.19423876734086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
854b2 |
Quadratic twists by: 5 |