Atkin-Lehner |
2- 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990bn |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-31627968750 = -1 · 2 · 35 · 57 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-190,-8695] |
[a1,a2,a3,a4,a6] |
j |
-15485715889/645468750 |
j-invariant |
L |
3.5838255648297 |
L(r)(E,1)/r! |
Ω |
0.51197508068996 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74970bb1 124950da1 24990bw1 |
Quadratic twists by: -3 5 -7 |