Atkin-Lehner |
2+ 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990a |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
18951357812244480 = 216 · 35 · 5 · 77 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2513333,-1534672467] |
[a1,a2,a3,a4,a6] |
j |
14924020698027934921/161083883520 |
j-invariant |
L |
0.47962001284558 |
L(r)(E,1)/r! |
Ω |
0.11990500321146 |
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 |
74970ds1 124950ib1 3570p1 |
Quadratic twists by: -3 5 -7 |