Atkin-Lehner |
2+ 3+ 13- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30498f |
Isogeny class |
Conductor |
30498 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
43236244586496 = 224 · 3 · 133 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 -4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-55054,4939060] |
[a1,a2,a3,a4,a6] |
Generators |
[165:535:1] |
Generators of the group modulo torsion |
j |
18454516589139899113/43236244586496 |
j-invariant |
L |
2.8362643726427 |
L(r)(E,1)/r! |
Ω |
0.6430841812038 |
Real period |
R |
2.9402727828815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91494ba1 |
Quadratic twists by: -3 |