Atkin-Lehner |
3- 5+ 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
123225l |
Isogeny class |
Conductor |
123225 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
779783203125 = 35 · 59 · 31 · 53 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 -3 1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2313,-5508] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:180:1] [-33:204:1] |
Generators of the group modulo torsion |
j |
87587538121/49906125 |
j-invariant |
L |
8.2599946911245 |
L(r)(E,1)/r! |
Ω |
0.74454825183772 |
Real period |
R |
0.55469841447588 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999942143 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24645c1 |
Quadratic twists by: 5 |