Atkin-Lehner |
2- 3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35136bd |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-74998213632 = -1 · 210 · 39 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2160,40824] |
[a1,a2,a3,a4,a6] |
j |
-55296000/3721 |
j-invariant |
L |
2.1437954119924 |
L(r)(E,1)/r! |
Ω |
1.0718977059995 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35136b1 8784l1 35136be1 |
Quadratic twists by: -4 8 -3 |