Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720ci |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-25345350696960 = -1 · 221 · 35 · 5 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 6 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13896,-680076] |
[a1,a2,a3,a4,a6] |
Generators |
[222:-2688:1] |
Generators of the group modulo torsion |
j |
-72454344765769/6187829760 |
j-invariant |
L |
7.2540734435437 |
L(r)(E,1)/r! |
Ω |
0.21879151632641 |
Real period |
R |
0.5525864352005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6090c1 |
Quadratic twists by: -4 |