Atkin-Lehner |
3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
3465q |
Isogeny class |
Conductor |
3465 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-52644476242466955 = -1 · 319 · 5 · 77 · 11 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ 11- -2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,74643,-7762118] |
[a1,a2,a3,a4,a6] |
j |
63090423356788736/72214645051395 |
j-invariant |
L |
0.76450773725277 |
L(r)(E,1)/r! |
Ω |
0.19112693431319 |
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 |
55440ep1 1155b1 17325bh1 24255bk1 |
Quadratic twists by: -4 -3 5 -7 |