Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30258o |
Isogeny class |
Conductor |
30258 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-152465462784 = -1 · 29 · 311 · 412 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -4 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3083,69275] |
[a1,a2,a3,a4,a6] |
Generators |
[15:154:1] |
Generators of the group modulo torsion |
j |
-2643729241/124416 |
j-invariant |
L |
8.0601768750585 |
L(r)(E,1)/r! |
Ω |
1.0167462211674 |
Real period |
R |
0.22020618068084 |
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 |
10086h1 30258y1 |
Quadratic twists by: -3 41 |