Atkin-Lehner |
2+ 3+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
6042c |
Isogeny class |
Conductor |
6042 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
23380189565328 = 24 · 33 · 193 · 534 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15803194,24173924548] |
[a1,a2,a3,a4,a6] |
j |
436473990987119822254243753/23380189565328 |
j-invariant |
L |
1.1047847438589 |
L(r)(E,1)/r! |
Ω |
0.3682615812863 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48336bl4 18126t3 114798bc4 |
Quadratic twists by: -4 -3 -19 |