Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
7140k |
Isogeny class |
Conductor |
7140 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-38841600 = -1 · 28 · 3 · 52 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,84,84] |
[a1,a2,a3,a4,a6] |
Generators |
[10:111:8] |
Generators of the group modulo torsion |
j |
253012016/151725 |
j-invariant |
L |
4.6545722256708 |
L(r)(E,1)/r! |
Ω |
1.2534497998546 |
Real period |
R |
3.7134093652659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28560ck2 114240cm2 21420y2 35700d2 |
Quadratic twists by: -4 8 -3 5 |