Atkin-Lehner |
2- 3+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24816o |
Isogeny class |
Conductor |
24816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-114352128 = -1 · 213 · 33 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 11- 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,120,-144] |
[a1,a2,a3,a4,a6] |
Generators |
[2:10:1] |
Generators of the group modulo torsion |
j |
46268279/27918 |
j-invariant |
L |
3.8016135969804 |
L(r)(E,1)/r! |
Ω |
1.0878048102058 |
Real period |
R |
1.7473785560211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3102f1 99264bz1 74448bh1 |
Quadratic twists by: -4 8 -3 |