Atkin-Lehner |
2+ 3- 5+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
29670n |
Isogeny class |
Conductor |
29670 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2154240 |
Modular degree for the optimal curve |
Δ |
-5022537600000000000 = -1 · 216 · 3 · 511 · 233 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -3 -2 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23986804,45215643506] |
[a1,a2,a3,a4,a6] |
Generators |
[7521:534991:1] |
Generators of the group modulo torsion |
j |
-1526303307971951985298798009/5022537600000000000 |
j-invariant |
L |
4.8875483463473 |
L(r)(E,1)/r! |
Ω |
0.21206903531376 |
Real period |
R |
3.841161392811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89010bs1 |
Quadratic twists by: -3 |