Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
36400bv |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
65228800 = 212 · 52 · 72 · 13 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -4 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133,-403] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:7:1] |
Generators of the group modulo torsion |
j |
2560000/637 |
j-invariant |
L |
3.7185465357478 |
L(r)(E,1)/r! |
Ω |
1.4305769465341 |
Real period |
R |
1.2996667340255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2275b1 36400cl1 |
Quadratic twists by: -4 5 |