Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
35904cn |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
680643330048 = 216 · 33 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48097,4043807] |
[a1,a2,a3,a4,a6] |
j |
187761599684068/10385793 |
j-invariant |
L |
5.1442713834087 |
L(r)(E,1)/r! |
Ω |
0.85737856389938 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35904u1 8976g1 107712eq1 |
Quadratic twists by: -4 8 -3 |