Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
106400t |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-52136000000000 = -1 · 212 · 59 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 4 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22300,-1328000] |
[a1,a2,a3,a4,a6] |
Generators |
[180:700:1] |
Generators of the group modulo torsion |
j |
-19162771776/814625 |
j-invariant |
L |
4.6461794866516 |
L(r)(E,1)/r! |
Ω |
0.19485621761642 |
Real period |
R |
1.9870119003289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106400e1 21280x1 |
Quadratic twists by: -4 5 |