Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400fm |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-394875000000 = -1 · 26 · 35 · 59 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -1 13+ 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-333,-30213] |
[a1,a2,a3,a4,a6] |
Generators |
[6834:108125:27] |
Generators of the group modulo torsion |
j |
-32768/3159 |
j-invariant |
L |
4.528339126168 |
L(r)(E,1)/r! |
Ω |
0.41979341908281 |
Real period |
R |
5.3935327715206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999656 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400di1 15600cu1 62400hz1 |
Quadratic twists by: -4 8 5 |