Atkin-Lehner |
2- 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890dt |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
286720 |
Modular degree for the optimal curve |
Δ |
-9497687544450 = -1 · 2 · 33 · 52 · 73 · 295 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 -3 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,988,-148039] |
[a1,a2,a3,a4,a6] |
j |
11527859979/1025557450 |
j-invariant |
L |
2.7674476019808 |
L(r)(E,1)/r! |
Ω |
0.34593108984414 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890m1 127890dj1 |
Quadratic twists by: -3 -7 |