Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800bf |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-575727750000000000 = -1 · 210 · 311 · 512 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,161925,-26527750] |
[a1,a2,a3,a4,a6] |
Generators |
[235:4950:1] |
Generators of the group modulo torsion |
j |
40254822716/49359375 |
j-invariant |
L |
7.2176613871838 |
L(r)(E,1)/r! |
Ω |
0.15585004091505 |
Real period |
R |
2.8944736494803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23400r1 15600i1 9360i1 |
Quadratic twists by: -4 -3 5 |