Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
51120br |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-3.6349425651149E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1725627,-3029106454] |
[a1,a2,a3,a4,a6] |
Generators |
[721945:17701578:343] |
Generators of the group modulo torsion |
j |
-190316752233854329/1217334910406400 |
j-invariant |
L |
5.666456007915 |
L(r)(E,1)/r! |
Ω |
0.058722210204073 |
Real period |
R |
4.0206649722648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6390r1 17040l1 |
Quadratic twists by: -4 -3 |