Atkin-Lehner |
2- 3- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
58032bi |
Isogeny class |
Conductor |
58032 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-34093972287258624 = -1 · 217 · 36 · 135 · 312 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 2 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2031123,1114207954] |
[a1,a2,a3,a4,a6] |
Generators |
[807:-806:1] [729:4576:1] |
Generators of the group modulo torsion |
j |
-310345110881179921/11418002336 |
j-invariant |
L |
9.0777597729063 |
L(r)(E,1)/r! |
Ω |
0.34453908464283 |
Real period |
R |
0.65868867840602 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7254f1 6448i1 |
Quadratic twists by: -4 -3 |