Atkin-Lehner |
2+ 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35136k |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-26228883456 = -1 · 216 · 38 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 -3 5 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,7792] |
[a1,a2,a3,a4,a6] |
j |
-4/549 |
j-invariant |
L |
3.7908332582835 |
L(r)(E,1)/r! |
Ω |
0.9477083145727 |
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 |
35136bu1 4392b1 11712h1 |
Quadratic twists by: -4 8 -3 |