Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024u |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
163648772630784 = 28 · 34 · 78 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18244,-715616] |
[a1,a2,a3,a4,a6] |
Generators |
[485:10212:1] |
Generators of the group modulo torsion |
j |
22298697808/5433561 |
j-invariant |
L |
3.7800027474415 |
L(r)(E,1)/r! |
Ω |
0.41808447700145 |
Real period |
R |
4.5206207812239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999930202 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43512bl2 12432m2 |
Quadratic twists by: -4 -7 |