Atkin-Lehner |
2- 3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720bv |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2280960 |
Modular degree for the optimal curve |
Δ |
-7.3647802368E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 1 -5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1805680,911870400] |
[a1,a2,a3,a4,a6] |
Generators |
[490:43750:1] |
Generators of the group modulo torsion |
j |
158959279972730830319/179804205000000000 |
j-invariant |
L |
6.0168643967906 |
L(r)(E,1)/r! |
Ω |
0.10664006114677 |
Real period |
R |
2.8211088460045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6090z1 |
Quadratic twists by: -4 |