Atkin-Lehner |
2- 3- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
63654i |
Isogeny class |
Conductor |
63654 |
Conductor |
∏ cp |
294 |
Product of Tamagawa factors cp |
deg |
45301872 |
Modular degree for the optimal curve |
Δ |
7.7554201976377E+24 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -2 0 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3541687563,81126233073009] |
[a1,a2,a3,a4,a6] |
Generators |
[-20334:12040773:1] |
Generators of the group modulo torsion |
j |
387843621740640625/612220032 |
j-invariant |
L |
13.725881443579 |
L(r)(E,1)/r! |
Ω |
0.063125061582455 |
Real period |
R |
0.73959011535159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998834 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63654f1 |
Quadratic twists by: -103 |