Atkin-Lehner |
2+ 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
75840u |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4659609600 = 218 · 32 · 52 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -6 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26945,1711425] |
[a1,a2,a3,a4,a6] |
Generators |
[97:-32:1] |
Generators of the group modulo torsion |
j |
8253429989329/17775 |
j-invariant |
L |
2.8982600258353 |
L(r)(E,1)/r! |
Ω |
1.1835170712475 |
Real period |
R |
0.61221339659597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75840cp2 1185e2 |
Quadratic twists by: -4 8 |