Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49200dg |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
680908781250000 = 24 · 312 · 59 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -6 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36633,2376738] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:2250:1] |
Generators of the group modulo torsion |
j |
21747684130816/2723635125 |
j-invariant |
L |
5.3675282463945 |
L(r)(E,1)/r! |
Ω |
0.49192655533461 |
Real period |
R |
0.9092699218604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12300b1 9840t1 |
Quadratic twists by: -4 5 |