Atkin-Lehner |
2+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
59048d |
Isogeny class |
Conductor |
59048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
2434493298688 = 211 · 117 · 61 |
Discriminant |
Eigenvalues |
2+ 1 2 4 11- -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3912,-58192] |
[a1,a2,a3,a4,a6] |
Generators |
[-1532:9559:64] |
Generators of the group modulo torsion |
j |
1825346/671 |
j-invariant |
L |
9.5928817159863 |
L(r)(E,1)/r! |
Ω |
0.62229689111999 |
Real period |
R |
3.8538203599836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000183 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118096k1 5368c1 |
Quadratic twists by: -4 -11 |