Atkin-Lehner |
2+ 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98600c |
Isogeny class |
Conductor |
98600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-429107200 = -1 · 211 · 52 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 0 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-328,-2388] |
[a1,a2,a3,a4,a6] |
j |
-76453730/8381 |
j-invariant |
L |
4.4586572169153 |
L(r)(E,1)/r! |
Ω |
0.55733217695814 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98600o1 |
Quadratic twists by: 5 |