Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30258m |
Isogeny class |
Conductor |
30258 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
787200 |
Modular degree for the optimal curve |
Δ |
-2.0620347566964E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 2 0 -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2700842,-1842162487] |
[a1,a2,a3,a4,a6] |
Generators |
[27003195:12536805677:125] |
Generators of the group modulo torsion |
j |
-9129329/864 |
j-invariant |
L |
9.7024382178203 |
L(r)(E,1)/r! |
Ω |
0.058568538081321 |
Real period |
R |
8.2829779738985 |
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 |
10086i1 30258n1 |
Quadratic twists by: -3 41 |