Atkin-Lehner |
2- 3+ 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
127920bd |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
-15517412352000 = -1 · 213 · 37 · 53 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 6 13- -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-114816,15014016] |
[a1,a2,a3,a4,a6] |
Generators |
[200:104:1] |
Generators of the group modulo torsion |
j |
-40867190734750849/3788430750 |
j-invariant |
L |
5.6929127489743 |
L(r)(E,1)/r! |
Ω |
0.66845055153165 |
Real period |
R |
1.0645725258593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15990s1 |
Quadratic twists by: -4 |