Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890dj |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2007040 |
Modular degree for the optimal curve |
Δ |
-1117393441916998050 = -1 · 2 · 33 · 52 · 79 · 295 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,48427,50680431] |
[a1,a2,a3,a4,a6] |
Generators |
[-6060:433463:64] |
Generators of the group modulo torsion |
j |
11527859979/1025557450 |
j-invariant |
L |
9.134237955509 |
L(r)(E,1)/r! |
Ω |
0.2106458400449 |
Real period |
R |
5.4203763806457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000073377 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890y1 127890dt1 |
Quadratic twists by: -3 -7 |