Atkin-Lehner |
2- 3+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
35040l |
Isogeny class |
Conductor |
35040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
1051200 = 26 · 32 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 2 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-610,-5600] |
[a1,a2,a3,a4,a6] |
Generators |
[40:180:1] |
Generators of the group modulo torsion |
j |
392866508224/16425 |
j-invariant |
L |
4.3936111716728 |
L(r)(E,1)/r! |
Ω |
0.96052543972331 |
Real period |
R |
2.2870873534274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35040h1 70080s1 105120e1 |
Quadratic twists by: -4 8 -3 |