Atkin-Lehner |
2+ 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
35040c |
Isogeny class |
Conductor |
35040 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
-1587760001256960 = -1 · 29 · 313 · 5 · 733 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 2 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16424,-1743020] |
[a1,a2,a3,a4,a6] |
j |
956894629836088/3101093752455 |
j-invariant |
L |
1.4562212871678 |
L(r)(E,1)/r! |
Ω |
0.24270354785998 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35040g1 70080cq1 105120bf1 |
Quadratic twists by: -4 8 -3 |