Atkin-Lehner |
3+ 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
36135d |
Isogeny class |
Conductor |
36135 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
108405 = 33 · 5 · 11 · 73 |
Discriminant |
Eigenvalues |
0 3+ 5- -2 11+ -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12,2] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1:1] |
Generators of the group modulo torsion |
j |
7077888/4015 |
j-invariant |
L |
4.1093159282406 |
L(r)(E,1)/r! |
Ω |
2.8741315732405 |
Real period |
R |
0.71487957727826 |
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 |
36135b1 |
Quadratic twists by: -3 |