Atkin-Lehner |
2+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
994d |
Isogeny class |
Conductor |
994 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-408575541248 = -1 · 224 · 73 · 71 |
Discriminant |
Eigenvalues |
2+ 1 0 7- -3 -1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1611,-39690] |
[a1,a2,a3,a4,a6] |
Generators |
[591:14040:1] |
Generators of the group modulo torsion |
j |
-461979552147625/408575541248 |
j-invariant |
L |
2.110157842968 |
L(r)(E,1)/r! |
Ω |
0.36340905701106 |
Real period |
R |
0.9677606186279 |
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 |
7952c2 31808n2 8946v2 24850s2 |
Quadratic twists by: -4 8 -3 5 |