Atkin-Lehner |
2- 3- 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
36498bj |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
88128 |
Modular degree for the optimal curve |
Δ |
-3673700642304 = -1 · 29 · 33 · 72 · 11 · 793 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3969,-133623] |
[a1,a2,a3,a4,a6] |
Generators |
[84:315:1] |
Generators of the group modulo torsion |
j |
-6914708041335697/3673700642304 |
j-invariant |
L |
13.169250973752 |
L(r)(E,1)/r! |
Ω |
0.29343818795788 |
Real period |
R |
2.4932850737288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
109494z1 |
Quadratic twists by: -3 |