Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990r |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-32136040440 = -1 · 23 · 39 · 5 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 6 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,611,6416] |
[a1,a2,a3,a4,a6] |
j |
10531168151/13384440 |
j-invariant |
L |
2.3561438538762 |
L(r)(E,1)/r! |
Ω |
0.78538128462538 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
74970de1 124950eq1 24990p1 |
Quadratic twists by: -3 5 -7 |