Atkin-Lehner |
2+ 3- 11- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63954o |
Isogeny class |
Conductor |
63954 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-30914194999767552 = -1 · 29 · 314 · 112 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 11- -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29385,-8671347] |
[a1,a2,a3,a4,a6] |
Generators |
[609:13803:1] |
Generators of the group modulo torsion |
j |
-3849298428393361/42406303154688 |
j-invariant |
L |
5.1164126404963 |
L(r)(E,1)/r! |
Ω |
0.1577882629973 |
Real period |
R |
4.0532265696458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001612 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21318q2 |
Quadratic twists by: -3 |