Atkin-Lehner |
2+ 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690m |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-242061573505676400 = -1 · 24 · 36 · 52 · 7 · 179 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,155043,-2797011] |
[a1,a2,a3,a4,a6] |
j |
17075848639751/10028415600 |
j-invariant |
L |
0.73477949828488 |
L(r)(E,1)/r! |
Ω |
0.18369487489311 |
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 |
3570k1 |
Quadratic twists by: 17 |