Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800ca |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-33779203200000000 = -1 · 213 · 34 · 58 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,79592,1843312] |
[a1,a2,a3,a4,a6] |
Generators |
[148:4104:1] |
Generators of the group modulo torsion |
j |
871257511151/527800050 |
j-invariant |
L |
3.8642272151746 |
L(r)(E,1)/r! |
Ω |
0.22626738221267 |
Real period |
R |
1.0673840771332 |
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 |
2850i4 91200hk3 68400fa3 4560x4 |
Quadratic twists by: -4 8 -3 5 |