Atkin-Lehner |
2+ 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
36162j |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-85069013968512 = -1 · 27 · 39 · 77 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 3 -2 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7194,-378316] |
[a1,a2,a3,a4,a6] |
Generators |
[415:8392:1] |
Generators of the group modulo torsion |
j |
17779581/36736 |
j-invariant |
L |
5.2037436069943 |
L(r)(E,1)/r! |
Ω |
0.31570671849861 |
Real period |
R |
2.0603551104887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36162br1 5166c1 |
Quadratic twists by: -3 -7 |