Atkin-Lehner |
2- 3+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
121200cu |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
-9468750000 = -1 · 24 · 3 · 59 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 -5 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2333,44412] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:250:1] [28:16:1] |
Generators of the group modulo torsion |
j |
-44957696/303 |
j-invariant |
L |
7.6786002124453 |
L(r)(E,1)/r! |
Ω |
1.3018269561942 |
Real period |
R |
2.949163166281 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999951629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30300q1 121200ef1 |
Quadratic twists by: -4 5 |