Atkin-Lehner |
2- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
36848m |
Isogeny class |
Conductor |
36848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-22414021070422016 = -1 · 218 · 77 · 473 |
Discriminant |
Eigenvalues |
2- 1 -3 7- -3 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24712,-7364876] |
[a1,a2,a3,a4,a6] |
Generators |
[21180:576926:27] |
Generators of the group modulo torsion |
j |
-3463512697/46512704 |
j-invariant |
L |
4.1579066797967 |
L(r)(E,1)/r! |
Ω |
0.16288033954681 |
Real period |
R |
6.3818424792171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4606f2 5264f2 |
Quadratic twists by: -4 -7 |