Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
1710m |
Isogeny class |
Conductor |
1710 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
13132800 = 210 · 33 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -6 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-62,-51] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:11:1] |
Generators of the group modulo torsion |
j |
961504803/486400 |
j-invariant |
L |
3.8887348431364 |
L(r)(E,1)/r! |
Ω |
1.7968941740057 |
Real period |
R |
0.21641423848949 |
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 |
13680y1 54720g1 1710a1 8550b1 |
Quadratic twists by: -4 8 -3 5 |