Atkin-Lehner |
2- 3+ 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280bx |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-820799078400 = -1 · 220 · 32 · 52 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120,43632] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:210:1] |
Generators of the group modulo torsion |
j |
-47045881/200390400 |
j-invariant |
L |
5.787522679738 |
L(r)(E,1)/r! |
Ω |
0.71614211360887 |
Real period |
R |
1.0101910355768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998838955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910v1 |
Quadratic twists by: -4 |