Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34848bm |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2160243637618176 = -1 · 29 · 39 · 118 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11- -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,22869,1796850] |
[a1,a2,a3,a4,a6] |
Generators |
[3298:189602:1] |
Generators of the group modulo torsion |
j |
74088/121 |
j-invariant |
L |
5.1401525452978 |
L(r)(E,1)/r! |
Ω |
0.31621858187528 |
Real period |
R |
8.1275308282243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34848bn2 69696en2 34848e2 3168d2 |
Quadratic twists by: -4 8 -3 -11 |