Atkin-Lehner |
3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30135d |
Isogeny class |
Conductor |
30135 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3665238713676225 = 32 · 52 · 78 · 414 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2882916,1882862484] |
[a1,a2,a3,a4,a6] |
j |
22523270198753323441/31154015025 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
90405bu4 4305m3 |
Quadratic twists by: -3 -7 |