Atkin-Lehner |
2+ 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
12264c |
Isogeny class |
Conductor |
12264 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
14537843712 = 210 · 34 · 74 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58448,-5458320] |
[a1,a2,a3,a4,a6] |
Generators |
[3916:244608:1] |
Generators of the group modulo torsion |
j |
21564537616754500/14197113 |
j-invariant |
L |
5.524830078485 |
L(r)(E,1)/r! |
Ω |
0.30704818808084 |
Real period |
R |
4.4983412156062 |
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 |
24528d1 98112f1 36792j1 85848b1 |
Quadratic twists by: -4 8 -3 -7 |