Atkin-Lehner |
5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
455b |
Isogeny class |
Conductor |
455 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32 |
Modular degree for the optimal curve |
Δ |
3185 = 5 · 72 · 13 |
Discriminant |
Eigenvalues |
-1 0 5- 7+ 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-67,226] |
[a1,a2,a3,a4,a6] |
Generators |
[14:36:1] |
Generators of the group modulo torsion |
j |
32798729601/3185 |
j-invariant |
L |
1.3274338885416 |
L(r)(E,1)/r! |
Ω |
4.2935157507863 |
Real period |
R |
2.4733742053673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7280w1 29120a1 4095g1 2275c1 |
Quadratic twists by: -4 8 -3 5 |