Atkin-Lehner |
3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
24321h |
Isogeny class |
Conductor |
24321 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-1068251283 = -1 · 32 · 116 · 67 |
Discriminant |
Eigenvalues |
2 3+ 0 0 11- -4 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,202,-1189] |
[a1,a2,a3,a4,a6] |
j |
512000/603 |
j-invariant |
L |
3.3387013961565 |
L(r)(E,1)/r! |
Ω |
0.83467534903915 |
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 |
72963q1 201a1 |
Quadratic twists by: -3 -11 |