Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800fj |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7321758454080000000 = -1 · 212 · 34 · 57 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,342592,-104954688] |
[a1,a2,a3,a4,a6] |
Generators |
[2282:112050:1] |
Generators of the group modulo torsion |
j |
590589719/972405 |
j-invariant |
L |
4.4301282503267 |
L(r)(E,1)/r! |
Ω |
0.12388806584445 |
Real period |
R |
4.4698900374652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000215 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3675l4 11760ce4 8400cg4 |
Quadratic twists by: -4 5 -7 |