Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68208t |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3619160146215936 = 210 · 36 · 78 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38432,-192060] |
[a1,a2,a3,a4,a6] |
Generators |
[-152:1470:1] |
Generators of the group modulo torsion |
j |
52110563908/30041361 |
j-invariant |
L |
8.8797565831865 |
L(r)(E,1)/r! |
Ω |
0.37158146954529 |
Real period |
R |
1.9914333084178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34104d2 9744a2 |
Quadratic twists by: -4 -7 |