Atkin-Lehner |
2+ 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
117216f |
Isogeny class |
Conductor |
117216 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-25164060286464 = -1 · 29 · 36 · 113 · 373 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 11+ 0 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3357,-229446] |
[a1,a2,a3,a4,a6] |
j |
11209345272/67419143 |
j-invariant |
L |
0.67158175051694 |
L(r)(E,1)/r! |
Ω |
0.33579066778583 |
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 |
117216n1 13024d1 |
Quadratic twists by: -4 -3 |