Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5070o |
Isogeny class |
Conductor |
5070 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
954404943570 = 2 · 32 · 5 · 139 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-117036,15362043] |
[a1,a2,a3,a4,a6] |
Generators |
[12692:-4563:64] |
Generators of the group modulo torsion |
j |
16718302693/90 |
j-invariant |
L |
4.6760836850099 |
L(r)(E,1)/r! |
Ω |
0.78217852099401 |
Real period |
R |
5.9782818877043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40560cm2 15210w2 25350bj2 5070g2 |
Quadratic twists by: -4 -3 5 13 |