Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12432s |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
812376698112 = 28 · 36 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3284,56940] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:252:1] |
Generators of the group modulo torsion |
j |
15304721495632/3173346477 |
j-invariant |
L |
4.9186833558404 |
L(r)(E,1)/r! |
Ω |
0.84536623057379 |
Real period |
R |
0.32324473885135 |
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 |
6216d2 49728du2 37296z2 87024j2 |
Quadratic twists by: -4 8 -3 -7 |