Atkin-Lehner |
2+ 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
124608r |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
194560 |
Modular degree for the optimal curve |
Δ |
28422586368 = 214 · 35 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- -4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19057,-1006223] |
[a1,a2,a3,a4,a6] |
Generators |
[355251:741664:2197] |
Generators of the group modulo torsion |
j |
46718636988112/1734777 |
j-invariant |
L |
7.0888327145722 |
L(r)(E,1)/r! |
Ω |
0.40633570869175 |
Real period |
R |
8.722876926183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999942599 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608cw1 15576c1 |
Quadratic twists by: -4 8 |