Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160cc |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9031407206400000000 = 221 · 37 · 58 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 -4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5912801,5534067585] |
[a1,a2,a3,a4,a6] |
Generators |
[1099:19028:1] |
Generators of the group modulo torsion |
j |
87209470930780783801/34452084375000 |
j-invariant |
L |
1.802458071446 |
L(r)(E,1)/r! |
Ω |
0.22719344935884 |
Real period |
R |
3.9667914642369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000842 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160w2 17040bb2 |
Quadratic twists by: -4 8 |