Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
37752y |
Isogeny class |
Conductor |
37752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-565001993926656 = -1 · 211 · 32 · 119 · 13 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 11- 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,20288,272864] |
[a1,a2,a3,a4,a6] |
Generators |
[623:15972:1] |
Generators of the group modulo torsion |
j |
254527054/155727 |
j-invariant |
L |
4.6062303005611 |
L(r)(E,1)/r! |
Ω |
0.31911766222848 |
Real period |
R |
1.8042836725147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75504h1 113256y1 3432b1 |
Quadratic twists by: -4 -3 -11 |