Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600cz |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
-179712000 = -1 · 212 · 33 · 53 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -3 13+ -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,120,400] |
[a1,a2,a3,a4,a6] |
Generators |
[0:20:1] |
Generators of the group modulo torsion |
j |
13824/13 |
j-invariant |
L |
6.8394138216315 |
L(r)(E,1)/r! |
Ω |
1.180506571965 |
Real period |
R |
0.72420327492845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025877 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93600l1 93600i1 93600r1 |
Quadratic twists by: -4 -3 5 |