Atkin-Lehner |
2+ 3- 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
36498w |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
377749044288 = 26 · 36 · 7 · 114 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-168605,-26661256] |
[a1,a2,a3,a4,a6] |
Generators |
[11931:1296478:1] |
Generators of the group modulo torsion |
j |
530067720693115635913/377749044288 |
j-invariant |
L |
6.3671615934894 |
L(r)(E,1)/r! |
Ω |
0.23560378840036 |
Real period |
R |
4.5041448871421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109494cm1 |
Quadratic twists by: -3 |