Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690bq |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
1.8074229041616E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-243885950,1464451519547] |
[a1,a2,a3,a4,a6] |
Generators |
[9485:63271:1] |
Generators of the group modulo torsion |
j |
66464620505913166201729/74880071980801920 |
j-invariant |
L |
8.5300507382633 |
L(r)(E,1)/r! |
Ω |
0.083277713826539 |
Real period |
R |
7.3163552459374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000376 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570x4 |
Quadratic twists by: 17 |