Atkin-Lehner |
2- 3- 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
76860i |
Isogeny class |
Conductor |
76860 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-75029462887680 = -1 · 28 · 38 · 5 · 74 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6807,-469474] |
[a1,a2,a3,a4,a6] |
Generators |
[3890:84357:8] |
Generators of the group modulo torsion |
j |
-186906097744/402035445 |
j-invariant |
L |
6.4851603290391 |
L(r)(E,1)/r! |
Ω |
0.24625153901701 |
Real period |
R |
6.5838779673011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000689 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25620b2 |
Quadratic twists by: -3 |