Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600di |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-11276718750000 = -1 · 24 · 38 · 510 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ -2 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4800,-206125] |
[a1,a2,a3,a4,a6] |
Generators |
[5090:127575:8] |
Generators of the group modulo torsion |
j |
-67108864/61875 |
j-invariant |
L |
5.1402151634381 |
L(r)(E,1)/r! |
Ω |
0.27627880549252 |
Real period |
R |
4.6512934228477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9900p1 13200bs1 7920bg1 |
Quadratic twists by: -4 -3 5 |