Atkin-Lehner |
3+ 37+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
29637a |
Isogeny class |
Conductor |
29637 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
104064 |
Modular degree for the optimal curve |
Δ |
-8440488127772163 = -1 · 33 · 378 · 89 |
Discriminant |
Eigenvalues |
0 3+ -2 0 2 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3216,4420757] |
[a1,a2,a3,a4,a6] |
Generators |
[-17655:2810576:1331] |
Generators of the group modulo torsion |
j |
-136241077026816/312610671398969 |
j-invariant |
L |
3.4433261357435 |
L(r)(E,1)/r! |
Ω |
0.33237928719593 |
Real period |
R |
2.5899072749031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29637b1 |
Quadratic twists by: -3 |