Atkin-Lehner |
2+ 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22800k |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-116644922208000 = -1 · 28 · 312 · 53 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 4 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6572,-479648] |
[a1,a2,a3,a4,a6] |
j |
980844844912/3645153819 |
j-invariant |
L |
2.4013832017901 |
L(r)(E,1)/r! |
Ω |
0.30017290022377 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11400bo1 91200je1 68400ck1 22800bj1 |
Quadratic twists by: -4 8 -3 5 |