Atkin-Lehner |
2+ 5+ 23+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
118450a |
Isogeny class |
Conductor |
118450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
-21283984375000 = -1 · 23 · 511 · 232 · 103 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 -5 1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-177251,-28738602] |
[a1,a2,a3,a4,a6] |
Generators |
[3692:220966:1] |
Generators of the group modulo torsion |
j |
-39415427934896161/1362175000 |
j-invariant |
L |
2.8746883097782 |
L(r)(E,1)/r! |
Ω |
0.11633804957169 |
Real period |
R |
3.0887232940477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998615816 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23690h1 |
Quadratic twists by: 5 |