Atkin-Lehner |
2- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
56870o |
Isogeny class |
Conductor |
56870 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
392832 |
Modular degree for the optimal curve |
Δ |
-24480920312269300 = -1 · 22 · 52 · 119 · 473 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 11+ 5 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-85933,-12253623] |
[a1,a2,a3,a4,a6] |
Generators |
[30494:1861459:8] |
Generators of the group modulo torsion |
j |
-29762179299/10382300 |
j-invariant |
L |
8.9083440967222 |
L(r)(E,1)/r! |
Ω |
0.13701405517703 |
Real period |
R |
2.709072463806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998818 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56870c1 |
Quadratic twists by: -11 |