Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880n |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-615707301073920 = -1 · 210 · 3 · 5 · 119 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56616,-5339676] |
[a1,a2,a3,a4,a6] |
Generators |
[536:10890:1] |
Generators of the group modulo torsion |
j |
-19599679700268196/601276661205 |
j-invariant |
L |
5.8130648886257 |
L(r)(E,1)/r! |
Ω |
0.1544720163548 |
Real period |
R |
2.0906573047323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999757 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22440b1 |
Quadratic twists by: -4 |