Atkin-Lehner |
3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
126075be |
Isogeny class |
Conductor |
126075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
408000 |
Modular degree for the optimal curve |
Δ |
-8906445451875 = -1 · 3 · 54 · 416 |
Discriminant |
Eigenvalues |
2 3- 5- 3 -2 -1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-14008,-658781] |
[a1,a2,a3,a4,a6] |
Generators |
[1958629551527518515047404415490:5020811590427690415274677245491:14024024213869618407936729000] |
Generators of the group modulo torsion |
j |
-102400/3 |
j-invariant |
L |
19.641048149172 |
L(r)(E,1)/r! |
Ω |
0.21903993866259 |
Real period |
R |
44.834399308856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126075l2 75a1 |
Quadratic twists by: 5 41 |