Atkin-Lehner |
2- 3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74382bs |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
114 |
Product of Tamagawa factors cp |
deg |
601920 |
Modular degree for the optimal curve |
Δ |
16994428273557504 = 219 · 32 · 76 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- -1 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-124020,-15607152] |
[a1,a2,a3,a4,a6] |
Generators |
[-216:1164:1] |
Generators of the group modulo torsion |
j |
1793126264853169/144450256896 |
j-invariant |
L |
13.635483711741 |
L(r)(E,1)/r! |
Ω |
0.25570653608407 |
Real period |
R |
0.46776084828596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1518o1 |
Quadratic twists by: -7 |