Atkin-Lehner |
3+ 5- 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
128205k |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
2104704 |
Modular degree for the optimal curve |
Δ |
-1495132902682909875 = -1 · 39 · 53 · 79 · 11 · 372 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- 11+ 0 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,30213,-58795153] |
[a1,a2,a3,a4,a6] |
Generators |
[28626:1713281:8] |
Generators of the group modulo torsion |
j |
154957989040128/75960620976625 |
j-invariant |
L |
16.512406836321 |
L(r)(E,1)/r! |
Ω |
0.12567257204181 |
Real period |
R |
1.2165952638554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128205f1 |
Quadratic twists by: -3 |