Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600cd |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
15163200000000 = 212 · 36 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9000,-270000] |
[a1,a2,a3,a4,a6] |
Generators |
[-8920:11764:125] |
Generators of the group modulo torsion |
j |
69120/13 |
j-invariant |
L |
6.5464145109734 |
L(r)(E,1)/r! |
Ω |
0.49654290889653 |
Real period |
R |
6.591992754676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928358 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93600ev1 10400be1 93600ed1 |
Quadratic twists by: -4 -3 5 |