Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800bb |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
112597344000000 = 211 · 33 · 56 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31808,-2133612] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:228:1] |
Generators of the group modulo torsion |
j |
111223479026/3518667 |
j-invariant |
L |
6.3545415520998 |
L(r)(E,1)/r! |
Ω |
0.35818361111092 |
Real period |
R |
0.36960452189538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11400u3 91200ey4 68400bu4 912b3 |
Quadratic twists by: -4 8 -3 5 |