Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
127800z |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
707480831250000 = 24 · 313 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -1 4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-117750,-15499375] |
[a1,a2,a3,a4,a6] |
Generators |
[-200:225:1] |
Generators of the group modulo torsion |
j |
39627704320/155277 |
j-invariant |
L |
6.6332492446468 |
L(r)(E,1)/r! |
Ω |
0.25778739872792 |
Real period |
R |
1.0721446708793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999792911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42600x1 127800bi1 |
Quadratic twists by: -3 5 |