Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
36162de |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
125440 |
Modular degree for the optimal curve |
Δ |
-7236773757738 = -1 · 2 · 37 · 79 · 41 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 3 -6 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1093,128405] |
[a1,a2,a3,a4,a6] |
Generators |
[1374:17831:8] |
Generators of the group modulo torsion |
j |
4913/246 |
j-invariant |
L |
6.1284893596747 |
L(r)(E,1)/r! |
Ω |
0.56558084407747 |
Real period |
R |
2.7089360539034 |
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 |
12054o1 36162cw1 |
Quadratic twists by: -3 -7 |