Atkin-Lehner |
2- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
5150s |
Isogeny class |
Conductor |
5150 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
-16875520000 = -1 · 218 · 54 · 103 |
Discriminant |
Eigenvalues |
2- -2 5- -5 4 -3 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,412,5392] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:44:1] |
Generators of the group modulo torsion |
j |
12372841775/27000832 |
j-invariant |
L |
3.5168731328057 |
L(r)(E,1)/r! |
Ω |
0.85635479334799 |
Real period |
R |
0.076051749512047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41200bx1 46350bc1 5150c1 |
Quadratic twists by: -4 -3 5 |