Atkin-Lehner |
3+ 5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
58575g |
Isogeny class |
Conductor |
58575 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1401147131484375 = 35 · 57 · 114 · 712 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 11- 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-157525,23931250] |
[a1,a2,a3,a4,a6] |
Generators |
[150:1850:1] |
Generators of the group modulo torsion |
j |
27666642529024849/89673416415 |
j-invariant |
L |
7.4096486561207 |
L(r)(E,1)/r! |
Ω |
0.48207613380328 |
Real period |
R |
1.9212859070755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11715g2 |
Quadratic twists by: 5 |