Atkin-Lehner |
2+ 3- 7+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
24486d |
Isogeny class |
Conductor |
24486 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
57120 |
Modular degree for the optimal curve |
Δ |
-1105861413888 = -1 · 210 · 37 · 7 · 113 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 11- -1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,697,-50038] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1516:1] |
Generators of the group modulo torsion |
j |
37524717561239/1105861413888 |
j-invariant |
L |
2.9975360852086 |
L(r)(E,1)/r! |
Ω |
0.42035092304389 |
Real period |
R |
0.16978648761818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73458y1 |
Quadratic twists by: -3 |