Atkin-Lehner |
2- 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298ch |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
5909227819308 = 22 · 311 · 112 · 413 |
Discriminant |
Eigenvalues |
2- 3- 4 1 11- -6 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5468,104019] |
[a1,a2,a3,a4,a6] |
j |
204937704961/66991212 |
j-invariant |
L |
5.589574283777 |
L(r)(E,1)/r! |
Ω |
0.69869677910264 |
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 |
29766m1 89298bj1 |
Quadratic twists by: -3 -11 |