Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304bs |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-8.4838463560268E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -1 13- -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1039519,1340339169] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:35672:1] |
Generators of the group modulo torsion |
j |
11743520417/80199288 |
j-invariant |
L |
4.1549812113008 |
L(r)(E,1)/r! |
Ω |
0.11503995911794 |
Real period |
R |
1.8058860706665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039659 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304hy1 3822k1 122304cw1 |
Quadratic twists by: -4 8 -7 |