Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690u |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2625117040197120 = 29 · 3 · 5 · 72 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11836724,-15675546574] |
[a1,a2,a3,a4,a6] |
Generators |
[930709415529277960:-48622478910523620474:172222985359853] |
Generators of the group modulo torsion |
j |
7598444481718798681/108756480 |
j-invariant |
L |
5.0075397548157 |
L(r)(E,1)/r! |
Ω |
0.081393866432487 |
Real period |
R |
30.761161586912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999579 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570f2 |
Quadratic twists by: 17 |