Atkin-Lehner |
2- 37- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
36112j |
Isogeny class |
Conductor |
36112 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-2149964032 = -1 · 28 · 37 · 613 |
Discriminant |
Eigenvalues |
2- -2 2 0 1 0 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,148,-2072] |
[a1,a2,a3,a4,a6] |
Generators |
[2308:14519:64] |
Generators of the group modulo torsion |
j |
1391012912/8398297 |
j-invariant |
L |
4.8269340164238 |
L(r)(E,1)/r! |
Ω |
0.73290684363978 |
Real period |
R |
6.5860130224085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9028c1 |
Quadratic twists by: -4 |