Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
58608bm |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
120314253312 = 212 · 38 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11- 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28515,-1853278] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:2:1] |
Generators of the group modulo torsion |
j |
858729462625/40293 |
j-invariant |
L |
6.3250881643469 |
L(r)(E,1)/r! |
Ω |
0.36739431633957 |
Real period |
R |
2.1520093953772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3663c2 19536s2 |
Quadratic twists by: -4 -3 |