Atkin-Lehner |
2+ 3+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
58032b |
Isogeny class |
Conductor |
58032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11008 |
Modular degree for the optimal curve |
Δ |
-22284288 = -1 · 211 · 33 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -1 -6 13- 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,69,-54] |
[a1,a2,a3,a4,a6] |
Generators |
[1:4:1] [6:24:1] |
Generators of the group modulo torsion |
j |
657018/403 |
j-invariant |
L |
8.378244097113 |
L(r)(E,1)/r! |
Ω |
1.2407225004699 |
Real period |
R |
0.84408923973137 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29016h1 58032a1 |
Quadratic twists by: -4 -3 |