Atkin-Lehner |
7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
2849a |
Isogeny class |
Conductor |
2849 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9760 |
Modular degree for the optimal curve |
Δ |
-248558339951383 = -1 · 7 · 1110 · 372 |
Discriminant |
Eigenvalues |
-1 2 -2 7- 11+ 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-53484,-4843180] |
[a1,a2,a3,a4,a6] |
j |
-16919824733903238337/248558339951383 |
j-invariant |
L |
1.4114866348419 |
L(r)(E,1)/r! |
Ω |
0.15683184831577 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45584i1 25641k1 71225c1 19943c1 |
Quadratic twists by: -4 -3 5 -7 |