Atkin-Lehner |
2- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10672c |
Isogeny class |
Conductor |
10672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-140992314195968 = -1 · 214 · 233 · 294 |
Discriminant |
Eigenvalues |
2- 0 0 -4 -2 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4915,586482] |
[a1,a2,a3,a4,a6] |
j |
-3205784543625/34421951708 |
j-invariant |
L |
0.99020139658643 |
L(r)(E,1)/r! |
Ω |
0.49510069829322 |
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 |
1334b1 42688n1 96048bl1 |
Quadratic twists by: -4 8 -3 |