Atkin-Lehner |
2+ 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
36162ba |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-2377711324042887168 = -1 · 233 · 39 · 73 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 5 2 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-650232,215180608] |
[a1,a2,a3,a4,a6] |
j |
-121592686950598375/9509057593344 |
j-invariant |
L |
2.0270087807516 |
L(r)(E,1)/r! |
Ω |
0.25337609759157 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054y1 36162o1 |
Quadratic twists by: -3 -7 |