Atkin-Lehner |
2+ 3+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
24816d |
Isogeny class |
Conductor |
24816 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
777216 |
Modular degree for the optimal curve |
Δ |
-5528103527823959808 = -1 · 28 · 322 · 114 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -4 4 11- 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6820,113124256] |
[a1,a2,a3,a4,a6] |
Generators |
[41:10626:1] |
Generators of the group modulo torsion |
j |
-137056787714896/21594154405562343 |
j-invariant |
L |
3.7186296835744 |
L(r)(E,1)/r! |
Ω |
0.19185100861916 |
Real period |
R |
4.8457260015715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12408g1 99264ce1 74448b1 |
Quadratic twists by: -4 8 -3 |