Atkin-Lehner |
2- 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30258j |
Isogeny class |
Conductor |
30258 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-168267692633184 = -1 · 25 · 33 · 417 |
Discriminant |
Eigenvalues |
2- 3+ -1 4 4 5 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,12292,-341217] |
[a1,a2,a3,a4,a6] |
j |
1601613/1312 |
j-invariant |
L |
6.3465780508136 |
L(r)(E,1)/r! |
Ω |
0.31732890254064 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30258b1 738e1 |
Quadratic twists by: -3 41 |