Atkin-Lehner |
3- 5- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
63825r |
Isogeny class |
Conductor |
63825 |
Conductor |
∏ cp |
62 |
Product of Tamagawa factors cp |
deg |
7273344 |
Modular degree for the optimal curve |
Δ |
8.9950155308166E+22 |
Discriminant |
Eigenvalues |
-1 3- 5- -3 3 -7 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11352403,2920065572] |
[a1,a2,a3,a4,a6] |
Generators |
[-3127:90137:1] |
Generators of the group modulo torsion |
j |
1294425622099561427517509/719601242465327649993 |
j-invariant |
L |
4.0035920204141 |
L(r)(E,1)/r! |
Ω |
0.092994713840758 |
Real period |
R |
0.69438425249996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982387 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63825g1 |
Quadratic twists by: 5 |