Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810bu |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
148194525150 = 2 · 32 · 52 · 7 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6064808,5748247568] |
[a1,a2,a3,a4,a6] |
Generators |
[1422:-695:1] |
Generators of the group modulo torsion |
j |
524388516989299201/3150 |
j-invariant |
L |
7.4260249466046 |
L(r)(E,1)/r! |
Ω |
0.50138544104511 |
Real period |
R |
1.8513762909111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000007182 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
210c5 |
Quadratic twists by: -19 |