Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270y |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4853535755468750 = 2 · 58 · 7 · 316 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-84268,-8777519] |
[a1,a2,a3,a4,a6] |
Generators |
[2263584330:-74464037353:2000376] |
Generators of the group modulo torsion |
j |
74565301329/5468750 |
j-invariant |
L |
7.6690533555844 |
L(r)(E,1)/r! |
Ω |
0.28150809055496 |
Real period |
R |
13.621372906658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000265 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70a4 |
Quadratic twists by: -31 |