Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
93600r |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
133120 |
Modular degree for the optimal curve |
Δ |
-2808000000000 = -1 · 212 · 33 · 59 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -3 13- 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3000,50000] |
[a1,a2,a3,a4,a6] |
Generators |
[25:375:1] |
Generators of the group modulo torsion |
j |
13824/13 |
j-invariant |
L |
5.8353626221972 |
L(r)(E,1)/r! |
Ω |
0.52793858855982 |
Real period |
R |
1.3816385910378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001677 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93600df1 93600dg1 93600cz1 |
Quadratic twists by: -4 -3 5 |