Atkin-Lehner |
2- 3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
11712v |
Isogeny class |
Conductor |
11712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-2074745664 = -1 · 26 · 312 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 5 -5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6544,205966] |
[a1,a2,a3,a4,a6] |
j |
-484328442184768/32417901 |
j-invariant |
L |
2.7911389049613 |
L(r)(E,1)/r! |
Ω |
1.3955694524807 |
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 |
11712bi1 5856g1 35136cd1 |
Quadratic twists by: -4 8 -3 |