Atkin-Lehner |
2- 5- 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
60680i |
Isogeny class |
Conductor |
60680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
24878800 = 24 · 52 · 37 · 412 |
Discriminant |
Eigenvalues |
2- 0 5- -4 0 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-322,-2211] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:3:1] [53:360:1] |
Generators of the group modulo torsion |
j |
230765746176/1554925 |
j-invariant |
L |
9.1512940893838 |
L(r)(E,1)/r! |
Ω |
1.1274879781852 |
Real period |
R |
4.0582668136819 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121360g1 |
Quadratic twists by: -4 |