Atkin-Lehner |
2- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20240y |
Isogeny class |
Conductor |
20240 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-348962729984000 = -1 · 215 · 53 · 115 · 232 |
Discriminant |
Eigenvalues |
2- -3 5- -3 11- -4 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40507,3264106] |
[a1,a2,a3,a4,a6] |
Generators |
[-233:230:1] [1908112725:-9685118608:12649337] |
Generators of the group modulo torsion |
j |
-1794543557503761/85195979000 |
j-invariant |
L |
4.7346159445371 |
L(r)(E,1)/r! |
Ω |
0.53356096981719 |
Real period |
R |
0.073946812272792 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2530l1 80960bj1 101200ca1 |
Quadratic twists by: -4 8 5 |