Atkin-Lehner |
3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15675h |
Isogeny class |
Conductor |
15675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
734796632109375 = 38 · 57 · 11 · 194 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 11- -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22563,18906] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:312:1] [-61:1113:1] |
Generators of the group modulo torsion |
j |
81300912365161/47026984455 |
j-invariant |
L |
3.6020122019367 |
L(r)(E,1)/r! |
Ω |
0.42911987418994 |
Real period |
R |
2.098488335419 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47025m3 3135g3 |
Quadratic twists by: -3 5 |