Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
7140h |
Isogeny class |
Conductor |
7140 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
-6914994095520000 = -1 · 28 · 32 · 54 · 710 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,39860,2560600] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:1470:1] |
Generators of the group modulo torsion |
j |
27358024514264624/27011695685625 |
j-invariant |
L |
3.7124147878527 |
L(r)(E,1)/r! |
Ω |
0.27663718024769 |
Real period |
R |
0.22366328250652 |
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 |
28560du2 114240dx2 21420p2 35700bc2 |
Quadratic twists by: -4 8 -3 5 |