Atkin-Lehner |
5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
3245d |
Isogeny class |
Conductor |
3245 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-81125 = -1 · 53 · 11 · 59 |
Discriminant |
Eigenvalues |
1 -3 5- -2 11- 0 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,11,-2] |
[a1,a2,a3,a4,a6] |
Generators |
[2:4:1] |
Generators of the group modulo torsion |
j |
139798359/81125 |
j-invariant |
L |
2.4465330728387 |
L(r)(E,1)/r! |
Ω |
2.0586793481866 |
Real period |
R |
0.39613309619971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51920v1 29205f1 16225c1 35695h1 |
Quadratic twists by: -4 -3 5 -11 |