Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400dd |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
421200000000 = 210 · 34 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11133,447363] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:900:1] |
Generators of the group modulo torsion |
j |
9538484224/26325 |
j-invariant |
L |
9.4504087391565 |
L(r)(E,1)/r! |
Ω |
0.94686194745411 |
Real period |
R |
2.4951918187264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000162 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400fg1 7800m1 12480m1 |
Quadratic twists by: -4 8 5 |