Atkin-Lehner |
2+ 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
36162k |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-133388213902626816 = -1 · 212 · 39 · 79 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 4 1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-138336,26510336] |
[a1,a2,a3,a4,a6] |
Generators |
[37:4612:1] |
Generators of the group modulo torsion |
j |
-368601813/167936 |
j-invariant |
L |
3.6427467716915 |
L(r)(E,1)/r! |
Ω |
0.30699182335665 |
Real period |
R |
1.4832425876453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36162bs1 36162d1 |
Quadratic twists by: -3 -7 |