Atkin-Lehner |
2+ 3+ 5- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
127920l |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
87040 |
Modular degree for the optimal curve |
Δ |
-33985785600 = -1 · 28 · 35 · 52 · 13 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,780,-3168] |
[a1,a2,a3,a4,a6] |
Generators |
[788:22120:1] |
Generators of the group modulo torsion |
j |
204743747504/132756975 |
j-invariant |
L |
7.9740883691771 |
L(r)(E,1)/r! |
Ω |
0.66537240123349 |
Real period |
R |
5.9921994424139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000132729 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63960v1 |
Quadratic twists by: -4 |