Atkin-Lehner |
2- 3- 5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
63270z |
Isogeny class |
Conductor |
63270 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
590976 |
Modular degree for the optimal curve |
Δ |
-81213987085632000 = -1 · 29 · 36 · 53 · 196 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,78637,10748531] |
[a1,a2,a3,a4,a6] |
Generators |
[843:25570:1] |
Generators of the group modulo torsion |
j |
73770405696178199/111404646208000 |
j-invariant |
L |
9.4052718874322 |
L(r)(E,1)/r! |
Ω |
0.23259716299063 |
Real period |
R |
0.37440633277265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7030d1 |
Quadratic twists by: -3 |