Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10830a |
Isogeny class |
Conductor |
10830 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
194560 |
Modular degree for the optimal curve |
Δ |
-8564802689466040320 = -1 · 216 · 34 · 5 · 199 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-527428,-204088112] |
[a1,a2,a3,a4,a6] |
Generators |
[157597656:17829310484:12167] |
Generators of the group modulo torsion |
j |
-50284268371/26542080 |
j-invariant |
L |
2.2475973129949 |
L(r)(E,1)/r! |
Ω |
0.086437398479515 |
Real period |
R |
13.00130124536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86640cv1 32490bt1 54150cj1 10830bb1 |
Quadratic twists by: -4 -3 5 -19 |