Atkin-Lehner |
3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27075o |
Isogeny class |
Conductor |
27075 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
508032 |
Modular degree for the optimal curve |
Δ |
1217424420017578125 = 314 · 59 · 194 |
Discriminant |
Eigenvalues |
2 3- 5+ 2 1 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-327908,48934469] |
[a1,a2,a3,a4,a6] |
j |
1914902401024/597871125 |
j-invariant |
L |
7.0785764555516 |
L(r)(E,1)/r! |
Ω |
0.25280630198398 |
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 |
81225v1 5415b1 27075j1 |
Quadratic twists by: -3 5 -19 |