Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24990cb |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-35257827225600 = -1 · 212 · 310 · 52 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-36226,2666180] |
[a1,a2,a3,a4,a6] |
Generators |
[158:-1024:1] |
Generators of the group modulo torsion |
j |
-15328211694275143/102792499200 |
j-invariant |
L |
9.0097445501963 |
L(r)(E,1)/r! |
Ω |
0.65610639840942 |
Real period |
R |
0.11443449533031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970bu1 124950s1 24990br1 |
Quadratic twists by: -3 5 -7 |