Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800cc |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6641050752000 = -1 · 210 · 32 · 53 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3512,93472] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:294:1] |
Generators of the group modulo torsion |
j |
318028/441 |
j-invariant |
L |
4.6336165591738 |
L(r)(E,1)/r! |
Ω |
0.50673905126676 |
Real period |
R |
1.1429986862955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400cf2 58800ei2 8400bc2 |
Quadratic twists by: -4 5 -7 |