Atkin-Lehner |
2- 3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
69090bg |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
412596031251600 = 24 · 34 · 52 · 78 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-107556,13496853] |
[a1,a2,a3,a4,a6] |
Generators |
[279:-2443:1] [-309:4319:1] |
Generators of the group modulo torsion |
j |
1169606173160881/3507008400 |
j-invariant |
L |
12.175717030543 |
L(r)(E,1)/r! |
Ω |
0.53359502278239 |
Real period |
R |
2.8522841552771 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9870t2 |
Quadratic twists by: -7 |