Atkin-Lehner |
2+ 3+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
98880j |
Isogeny class |
Conductor |
98880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-3645112320000 = -1 · 221 · 33 · 54 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 5 0 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-385,-91775] |
[a1,a2,a3,a4,a6] |
j |
-24137569/13905000 |
j-invariant |
L |
2.8363329852546 |
L(r)(E,1)/r! |
Ω |
0.3545416236766 |
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 |
98880ce1 3090j1 |
Quadratic twists by: -4 8 |