Atkin-Lehner |
2- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800di |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-192745836800000000 = -1 · 214 · 58 · 116 · 17 |
Discriminant |
Eigenvalues |
2- -1 5- 1 11- -1 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4784208,4029406912] |
[a1,a2,a3,a4,a6] |
Generators |
[1306:2662:1] |
Generators of the group modulo torsion |
j |
-7568921117048305/120466148 |
j-invariant |
L |
4.8653901730531 |
L(r)(E,1)/r! |
Ω |
0.29172615386839 |
Real period |
R |
1.3898280140303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350bi2 74800bu2 |
Quadratic twists by: -4 5 |