Atkin-Lehner |
2+ 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
35400c |
Isogeny class |
Conductor |
35400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-6117120000 = -1 · 211 · 34 · 54 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 3 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,-4788] |
[a1,a2,a3,a4,a6] |
j |
-5882450/4779 |
j-invariant |
L |
3.0795007233053 |
L(r)(E,1)/r! |
Ω |
0.51325012055198 |
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 |
70800s1 106200bo1 35400n1 |
Quadratic twists by: -4 -3 5 |