Atkin-Lehner |
2+ 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690i |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
-153753925393420380 = -1 · 22 · 33 · 5 · 74 · 179 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-146673,28633473] |
[a1,a2,a3,a4,a6] |
j |
-2942649737/1296540 |
j-invariant |
L |
1.2148301444943 |
L(r)(E,1)/r! |
Ω |
0.3037075361375 |
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 |
60690bb1 |
Quadratic twists by: 17 |