Atkin-Lehner |
2+ 3+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720h |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
317247131250000 = 24 · 36 · 58 · 74 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17255,-157878] |
[a1,a2,a3,a4,a6] |
Generators |
[374:6750:1] |
Generators of the group modulo torsion |
j |
35511890207512576/19827945703125 |
j-invariant |
L |
5.0468830378157 |
L(r)(E,1)/r! |
Ω |
0.44722627011972 |
Real period |
R |
1.4106067149341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360o1 |
Quadratic twists by: -4 |