Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990y |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-45881640 = -1 · 23 · 34 · 5 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -5 3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,16,326] |
[a1,a2,a3,a4,a6] |
Generators |
[6:22:1] |
Generators of the group modulo torsion |
j |
10100279/936360 |
j-invariant |
L |
4.0908904737148 |
L(r)(E,1)/r! |
Ω |
1.5464002095989 |
Real period |
R |
0.33067850485287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74970ec1 124950gf1 24990j1 |
Quadratic twists by: -3 5 -7 |