Atkin-Lehner |
2+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91960d |
Isogeny class |
Conductor |
91960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
96729445051250000 = 24 · 57 · 118 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 11- 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3159471,2160467230] |
[a1,a2,a3,a4,a6] |
j |
123052623197108224/3412578125 |
j-invariant |
L |
1.2544169266363 |
L(r)(E,1)/r! |
Ω |
0.3136042037329 |
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 |
8360n1 |
Quadratic twists by: -11 |