Atkin-Lehner |
2+ 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970t |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-233420343750 = -1 · 2 · 32 · 56 · 112 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-894,25342] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:194:1] |
Generators of the group modulo torsion |
j |
-652007198689/1929093750 |
j-invariant |
L |
5.295822222521 |
L(r)(E,1)/r! |
Ω |
0.87237215972194 |
Real period |
R |
1.5176499396673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000459 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68970co2 |
Quadratic twists by: -11 |