Atkin-Lehner |
2+ 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3570g |
Isogeny class |
Conductor |
3570 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4384852500 = -1 · 22 · 3 · 54 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,298,-2376] |
[a1,a2,a3,a4,a6] |
Generators |
[13:56:1] |
Generators of the group modulo torsion |
j |
2911343039639/4384852500 |
j-invariant |
L |
2.4208370725 |
L(r)(E,1)/r! |
Ω |
0.73069141221268 |
Real period |
R |
1.6565386098964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28560ee3 114240dj3 10710x4 17850by4 |
Quadratic twists by: -4 8 -3 5 |