Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57120ck |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
13594560000 = 29 · 3 · 54 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-453160,-117566692] |
[a1,a2,a3,a4,a6] |
Generators |
[972610:19044459:1000] |
Generators of the group modulo torsion |
j |
20100618173224653128/26551875 |
j-invariant |
L |
7.9849368405596 |
L(r)(E,1)/r! |
Ω |
0.18400794824562 |
Real period |
R |
10.848630340009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120i4 114240x4 |
Quadratic twists by: -4 8 |