Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108300c |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-2222316000000 = -1 · 28 · 34 · 56 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 1 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2533,-86063] |
[a1,a2,a3,a4,a6] |
j |
-65536/81 |
j-invariant |
L |
1.2856547256373 |
L(r)(E,1)/r! |
Ω |
0.32141369135361 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4332b1 108300bl1 |
Quadratic twists by: 5 -19 |