Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
1710l |
Isogeny class |
Conductor |
1710 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
2052086594400 = 25 · 39 · 52 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3593,-45143] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:208:1] |
Generators of the group modulo torsion |
j |
260549802603/104256800 |
j-invariant |
L |
3.7679679235694 |
L(r)(E,1)/r! |
Ω |
0.63837041981322 |
Real period |
R |
0.29512394423538 |
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 |
13680v2 54720i2 1710b2 8550c2 |
Quadratic twists by: -4 8 -3 5 |