Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38808w |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
53680622668130304 = 211 · 310 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1439571,-664716850] |
[a1,a2,a3,a4,a6] |
Generators |
[7139543778:69072064858:5000211] |
Generators of the group modulo torsion |
j |
5476248398/891 |
j-invariant |
L |
4.9461199841194 |
L(r)(E,1)/r! |
Ω |
0.13783056056352 |
Real period |
R |
17.942755089649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77616cl2 12936s2 38808u2 |
Quadratic twists by: -4 -3 -7 |