Atkin-Lehner |
3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75075bl |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
7.5346389893188E+20 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3131376,1674469273] |
[a1,a2,a3,a4,a6] |
Generators |
[-10994:470793:8] |
Generators of the group modulo torsion |
j |
217324726991674913521/48221689531640625 |
j-invariant |
L |
9.0308605080274 |
L(r)(E,1)/r! |
Ω |
0.15079671113792 |
Real period |
R |
4.9906374175361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994154 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15015e2 |
Quadratic twists by: 5 |