Atkin-Lehner |
3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
30135bb |
Isogeny class |
Conductor |
30135 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
165312 |
Modular degree for the optimal curve |
Δ |
265901446125 = 32 · 53 · 78 · 41 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ -6 -1 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-45390,3706931] |
[a1,a2,a3,a4,a6] |
j |
1794029203456/46125 |
j-invariant |
L |
5.4586046114445 |
L(r)(E,1)/r! |
Ω |
0.90976743524167 |
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 |
90405j1 30135g1 |
Quadratic twists by: -3 -7 |