Atkin-Lehner |
2- 5- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
58480l |
Isogeny class |
Conductor |
58480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
63626240000 = 213 · 54 · 172 · 43 |
Discriminant |
Eigenvalues |
2- -2 5- 0 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7480,246228] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:680:1] |
Generators of the group modulo torsion |
j |
11301253512121/15533750 |
j-invariant |
L |
3.8192806631776 |
L(r)(E,1)/r! |
Ω |
1.1027898852822 |
Real period |
R |
0.4329111912099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7310j2 |
Quadratic twists by: -4 |