Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67032f |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
115076127430656 = 211 · 33 · 78 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 2 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-308259,65873150] |
[a1,a2,a3,a4,a6] |
Generators |
[37506:1299970:27] |
Generators of the group modulo torsion |
j |
497953800342/17689 |
j-invariant |
L |
8.1772851709242 |
L(r)(E,1)/r! |
Ω |
0.55313735045178 |
Real period |
R |
7.3917311532285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000277 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67032bo2 9576a2 |
Quadratic twists by: -3 -7 |