Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
25480d |
Isogeny class |
Conductor |
25480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
9592628864000 = 210 · 53 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -4 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27456,1735600] |
[a1,a2,a3,a4,a6] |
Generators |
[44:784:1] |
Generators of the group modulo torsion |
j |
19000416964/79625 |
j-invariant |
L |
2.4607978238578 |
L(r)(E,1)/r! |
Ω |
0.73092404279126 |
Real period |
R |
1.6833471604385 |
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 |
50960g1 127400bq1 3640f1 |
Quadratic twists by: -4 5 -7 |