Atkin-Lehner |
2- 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
66270s |
Isogeny class |
Conductor |
66270 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
1017907200000 = 214 · 32 · 55 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -5 -2 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7425,238335] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:608:1] [-87:528:1] |
Generators of the group modulo torsion |
j |
20493730741489/460800000 |
j-invariant |
L |
12.600462919792 |
L(r)(E,1)/r! |
Ω |
0.87587543115502 |
Real period |
R |
0.10275811304741 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999852 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66270n1 |
Quadratic twists by: -47 |