Atkin-Lehner |
2+ 3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144bm |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
9665410056192 = 214 · 32 · 116 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5329,5327] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:396:1] |
Generators of the group modulo torsion |
j |
1021697727568/589929813 |
j-invariant |
L |
4.7561542959145 |
L(r)(E,1)/r! |
Ω |
0.61770725805167 |
Real period |
R |
1.2832816395118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144bt2 9768b2 |
Quadratic twists by: -4 8 |