Atkin-Lehner |
2- 5+ 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
63650f |
Isogeny class |
Conductor |
63650 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
9850231334375000 = 23 · 58 · 196 · 67 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-53605,147397] |
[a1,a2,a3,a4,a6] |
Generators |
[-211:1530:1] |
Generators of the group modulo torsion |
j |
1090214594975961/630414805400 |
j-invariant |
L |
7.7728962721266 |
L(r)(E,1)/r! |
Ω |
0.3459390564556 |
Real period |
R |
1.2482764307916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000229 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12730d2 |
Quadratic twists by: 5 |