Atkin-Lehner |
3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30135d |
Isogeny class |
Conductor |
30135 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
830942019140625 = 32 · 58 · 78 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28666,-1263466] |
[a1,a2,a3,a4,a6] |
j |
22143063655441/7062890625 |
j-invariant |
L |
0.7523117500308 |
L(r)(E,1)/r! |
Ω |
0.37615587501572 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90405bu1 4305m1 |
Quadratic twists by: -3 -7 |