Atkin-Lehner |
2+ 3- 5- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
63270u |
Isogeny class |
Conductor |
63270 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
9.1531901712799E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36806184,72590498190] |
[a1,a2,a3,a4,a6] |
Generators |
[128694999:16718754063:6859] |
Generators of the group modulo torsion |
j |
7564122771096983025656449/1255581642150878906250 |
j-invariant |
L |
4.1828826794204 |
L(r)(E,1)/r! |
Ω |
0.08449062126224 |
Real period |
R |
8.2511775016676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996531 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
21090o4 |
Quadratic twists by: -3 |