Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950ci |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
4.7338642977295E+24 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-59348213,-141463099583] |
[a1,a2,a3,a4,a6] |
Generators |
[-4034:181755:1] |
Generators of the group modulo torsion |
j |
12575880055729259641/2575179687500000 |
j-invariant |
L |
6.8627280804414 |
L(r)(E,1)/r! |
Ω |
0.055176220810081 |
Real period |
R |
6.2189182034455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000843 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15190d2 10850v2 |
Quadratic twists by: 5 -7 |