Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800fq |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1037664180000000 = -1 · 28 · 32 · 57 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24092,566812] |
[a1,a2,a3,a4,a6] |
Generators |
[733:20286:1] |
Generators of the group modulo torsion |
j |
3286064/2205 |
j-invariant |
L |
5.2112347834443 |
L(r)(E,1)/r! |
Ω |
0.30945227252537 |
Real period |
R |
4.2100472723864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998608 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700be2 11760cg2 8400cb2 |
Quadratic twists by: -4 5 -7 |