Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3465l |
Isogeny class |
Conductor |
3465 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
1461886661885265 = 322 · 5 · 7 · 113 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28418,-118888] |
[a1,a2,a3,a4,a6] |
j |
3481467828171481/2005331497785 |
j-invariant |
L |
1.2011573526898 |
L(r)(E,1)/r! |
Ω |
0.40038578422992 |
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 |
55440db1 1155l1 17325r1 24255bx1 |
Quadratic twists by: -4 -3 5 -7 |