Atkin-Lehner |
2- 3- 5- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17670x |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-878903621501040 = -1 · 24 · 35 · 5 · 196 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,15180,1232640] |
[a1,a2,a3,a4,a6] |
j |
386845223361981119/878903621501040 |
j-invariant |
L |
6.9426274468771 |
L(r)(E,1)/r! |
Ω |
0.34713137234386 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53010h1 88350b1 |
Quadratic twists by: -3 5 |