Atkin-Lehner |
2+ 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536m |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-75955968 = -1 · 28 · 36 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,100,204] |
[a1,a2,a3,a4,a6] |
Generators |
[7:36:1] |
Generators of the group modulo torsion |
j |
427694384/296703 |
j-invariant |
L |
4.6241936809646 |
L(r)(E,1)/r! |
Ω |
1.2235000820457 |
Real period |
R |
1.2598265552035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9768h1 78144cj1 58608s1 |
Quadratic twists by: -4 8 -3 |