Atkin-Lehner |
2- 3+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
63756c |
Isogeny class |
Conductor |
63756 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-70399856685312 = -1 · 28 · 39 · 74 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8559,-505818] |
[a1,a2,a3,a4,a6] |
Generators |
[5115544170:38708556607:35937000] |
Generators of the group modulo torsion |
j |
-13761365616/13971419 |
j-invariant |
L |
7.136060600766 |
L(r)(E,1)/r! |
Ω |
0.23845304458338 |
Real period |
R |
14.963240694174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63756a2 |
Quadratic twists by: -3 |