Atkin-Lehner |
3- 5+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
60255d |
Isogeny class |
Conductor |
60255 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7352096675625 = 38 · 54 · 132 · 1032 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 0 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18878,-985044] |
[a1,a2,a3,a4,a6] |
Generators |
[552:12236:1] |
Generators of the group modulo torsion |
j |
1020569444121241/10085180625 |
j-invariant |
L |
4.2096952982082 |
L(r)(E,1)/r! |
Ω |
0.40754116468471 |
Real period |
R |
5.1647485737651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000229 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20085d2 |
Quadratic twists by: -3 |