Atkin-Lehner |
2- 3- 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920cd |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
-9727139954688000 = -1 · 217 · 3 · 53 · 136 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -2 13+ 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5400,4744500] |
[a1,a2,a3,a4,a6] |
Generators |
[-4020:21970:27] |
Generators of the group modulo torsion |
j |
4250740728599/2374790028000 |
j-invariant |
L |
8.4780011398051 |
L(r)(E,1)/r! |
Ω |
0.31814407300655 |
Real period |
R |
2.2206923001816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15990e1 |
Quadratic twists by: -4 |