Atkin-Lehner |
3+ 5+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
60225a |
Isogeny class |
Conductor |
60225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
3033876720703125 = 3 · 59 · 113 · 733 |
Discriminant |
Eigenvalues |
0 3+ 5+ 4 11+ -2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-39533,1472843] |
[a1,a2,a3,a4,a6] |
Generators |
[31:525:1] |
Generators of the group modulo torsion |
j |
437314612363264/194168110125 |
j-invariant |
L |
4.255366467148 |
L(r)(E,1)/r! |
Ω |
0.40473423647835 |
Real period |
R |
5.2569885169942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998727 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12045c2 |
Quadratic twists by: 5 |