Atkin-Lehner |
2- 3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970bm |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
3837201126000000 = 27 · 3 · 56 · 116 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-241821,45572979] |
[a1,a2,a3,a4,a6] |
Generators |
[-321:9660:1] |
Generators of the group modulo torsion |
j |
882774443450089/2166000000 |
j-invariant |
L |
8.9351625419967 |
L(r)(E,1)/r! |
Ω |
0.44263127374074 |
Real period |
R |
1.4418906519124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000095 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
570b2 |
Quadratic twists by: -11 |