Atkin-Lehner |
3+ 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
7161d |
Isogeny class |
Conductor |
7161 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2400 |
Modular degree for the optimal curve |
Δ |
-1702162539 = -1 · 33 · 75 · 112 · 31 |
Discriminant |
Eigenvalues |
0 3+ -1 7- 11+ 3 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-71,-1975] |
[a1,a2,a3,a4,a6] |
Generators |
[43:269:1] |
Generators of the group modulo torsion |
j |
-40142209024/1702162539 |
j-invariant |
L |
2.6335578760346 |
L(r)(E,1)/r! |
Ω |
0.65331997895342 |
Real period |
R |
0.40310383286509 |
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 |
114576bx1 21483n1 50127k1 78771d1 |
Quadratic twists by: -4 -3 -7 -11 |