Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600ct |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-4492800 = -1 · 29 · 33 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,270] |
[a1,a2,a3,a4,a6] |
Generators |
[1:14:1] [6:6:1] |
Generators of the group modulo torsion |
j |
-135000/13 |
j-invariant |
L |
10.714842840549 |
L(r)(E,1)/r! |
Ω |
2.3922181070399 |
Real period |
R |
1.1197602351258 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93600cs1 93600d1 93600m1 |
Quadratic twists by: -4 -3 5 |