Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990cc |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
528 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-23785042176000 = -1 · 211 · 38 · 53 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -1 -3 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-87585,9972297] |
[a1,a2,a3,a4,a6] |
Generators |
[264:-2427:1] |
Generators of the group modulo torsion |
j |
-1516411763988487009/485409024000 |
j-invariant |
L |
10.443441325829 |
L(r)(E,1)/r! |
Ω |
0.66052035849874 |
Real period |
R |
0.029944943680823 |
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 |
74970z1 124950u1 24990bk1 |
Quadratic twists by: -3 5 -7 |