Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
2898c |
Isogeny class |
Conductor |
2898 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-19875735936 = -1 · 27 · 39 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 2 -5 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,336,6272] |
[a1,a2,a3,a4,a6] |
Generators |
[7:91:1] |
Generators of the group modulo torsion |
j |
212776173/1009792 |
j-invariant |
L |
2.7049509354533 |
L(r)(E,1)/r! |
Ω |
0.87369153741007 |
Real period |
R |
0.51600036924391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23184t1 92736t1 2898l1 72450ck1 |
Quadratic twists by: -4 8 -3 5 |