Atkin-Lehner |
3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30135h |
Isogeny class |
Conductor |
30135 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-1759582770763149675 = -1 · 311 · 52 · 78 · 413 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- -3 0 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,181774,56360282] |
[a1,a2,a3,a4,a6] |
j |
5645837515526144/14956206774075 |
j-invariant |
L |
0.74248861572025 |
L(r)(E,1)/r! |
Ω |
0.1856221539304 |
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 |
90405by1 4305n1 |
Quadratic twists by: -3 -7 |