Atkin-Lehner |
2+ 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
49840b |
Isogeny class |
Conductor |
49840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1993600000 = -1 · 210 · 55 · 7 · 89 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -3 2 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,184,-1984] |
[a1,a2,a3,a4,a6] |
Generators |
[28:156:1] |
Generators of the group modulo torsion |
j |
669136604/1946875 |
j-invariant |
L |
7.7755142800293 |
L(r)(E,1)/r! |
Ω |
0.75624997223164 |
Real period |
R |
2.5704180381857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24920g1 |
Quadratic twists by: -4 |