Atkin-Lehner |
2+ 3+ 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
36498m |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
1888552512 = 26 · 32 · 73 · 112 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-476,3216] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-48:1] [-19:86:1] |
Generators of the group modulo torsion |
j |
11966561852617/1888552512 |
j-invariant |
L |
5.1754868558037 |
L(r)(E,1)/r! |
Ω |
1.4172285015545 |
Real period |
R |
0.60863942666111 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109494cl1 |
Quadratic twists by: -3 |