Atkin-Lehner |
2- 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
58032q |
Isogeny class |
Conductor |
58032 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
17706240 |
Modular degree for the optimal curve |
Δ |
-1.6109161525513E+25 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 -6 13+ -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-136559331,-643868588574] |
[a1,a2,a3,a4,a6] |
Generators |
[804747:-125960192:27] |
Generators of the group modulo torsion |
j |
-3493305866655310412979/199812059293024256 |
j-invariant |
L |
1.913082811983 |
L(r)(E,1)/r! |
Ω |
0.022008982113402 |
Real period |
R |
2.173070524122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7254a1 58032p1 |
Quadratic twists by: -4 -3 |