Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600cc |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
220052090880000 = 215 · 37 · 54 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 3 -2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15233,124737] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:-680:1] |
Generators of the group modulo torsion |
j |
19088798600/10744731 |
j-invariant |
L |
7.0165909227555 |
L(r)(E,1)/r! |
Ω |
0.48334092432068 |
Real period |
R |
0.40324601852033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004598 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600ey1 40800cb1 81600dd1 |
Quadratic twists by: -4 8 5 |