Atkin-Lehner |
2+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30400c |
Isogeny class |
Conductor |
30400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1404723200000000 = -1 · 219 · 58 · 193 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 0 -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4448033,-3612255937] |
[a1,a2,a3,a4,a6] |
Generators |
[6291761763:198343439072:2146689] |
Generators of the group modulo torsion |
j |
-2376117230685121/342950 |
j-invariant |
L |
6.5690983295815 |
L(r)(E,1)/r! |
Ω |
0.05197895534603 |
Real period |
R |
15.797495077215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30400bq2 950b2 6080a2 |
Quadratic twists by: -4 8 5 |