Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680da |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
2.7694554379078E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4664571,3792505254] |
[a1,a2,a3,a4,a6] |
Generators |
[2615:97383:1] |
Generators of the group modulo torsion |
j |
17384275110295552/428935546875 |
j-invariant |
L |
7.8962403790644 |
L(r)(E,1)/r! |
Ω |
0.17342502123094 |
Real period |
R |
5.6913935513208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360s1 64680ci1 |
Quadratic twists by: -4 -7 |