Atkin-Lehner |
2- 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60450cc |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
739976006250000 = 24 · 36 · 58 · 132 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-362713,-84220969] |
[a1,a2,a3,a4,a6] |
Generators |
[1905:77422:1] |
Generators of the group modulo torsion |
j |
337748263783145929/47358464400 |
j-invariant |
L |
7.4486927790476 |
L(r)(E,1)/r! |
Ω |
0.19454157257704 |
Real period |
R |
4.7860546467144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996723 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12090j2 |
Quadratic twists by: 5 |