Atkin-Lehner |
2- 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200cq |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-620544000000000 = -1 · 220 · 3 · 59 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 1 2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,20792,316912] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:256:1] |
Generators of the group modulo torsion |
j |
124251499/77568 |
j-invariant |
L |
5.6607374942613 |
L(r)(E,1)/r! |
Ω |
0.31830635712486 |
Real period |
R |
2.2229910754759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999938197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150r1 121200ea1 |
Quadratic twists by: -4 5 |