Atkin-Lehner |
2+ 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720l |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
-371711773440 = -1 · 28 · 35 · 5 · 72 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 3 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-201,-29421] |
[a1,a2,a3,a4,a6] |
Generators |
[150:1827:1] |
Generators of the group modulo torsion |
j |
-3525581824/1451999115 |
j-invariant |
L |
7.748041559593 |
L(r)(E,1)/r! |
Ω |
0.42783193268333 |
Real period |
R |
0.60366707638384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24360e1 |
Quadratic twists by: -4 |