Atkin-Lehner |
2- 3- 5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
63630bm |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6100277695312500 = -1 · 22 · 37 · 510 · 7 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55148,-6228669] |
[a1,a2,a3,a4,a6] |
Generators |
[9327:102829:27] |
Generators of the group modulo torsion |
j |
-25443573183133561/8368007812500 |
j-invariant |
L |
9.8552551089721 |
L(r)(E,1)/r! |
Ω |
0.1532115756467 |
Real period |
R |
8.0405601431931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210l2 |
Quadratic twists by: -3 |