Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
21070g |
Isogeny class |
Conductor |
21070 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-898350384889720 = -1 · 23 · 5 · 710 · 433 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 6 -2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-56473,5339517] |
[a1,a2,a3,a4,a6] |
Generators |
[-273:846:1] |
Generators of the group modulo torsion |
j |
-70514414761/3180280 |
j-invariant |
L |
5.2026390559195 |
L(r)(E,1)/r! |
Ω |
0.49353279428831 |
Real period |
R |
3.5138759545667 |
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 |
105350cj2 21070h2 |
Quadratic twists by: 5 -7 |