Atkin-Lehner |
3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128673i |
Isogeny class |
Conductor |
128673 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2150400 |
Modular degree for the optimal curve |
Δ |
-1506491572385638539 = -1 · 311 · 17 · 298 |
Discriminant |
Eigenvalues |
-2 3- -1 0 -3 3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,148857,54759402] |
[a1,a2,a3,a4,a6] |
Generators |
[348:12194:1] [986:34060:1] |
Generators of the group modulo torsion |
j |
841232384/3474171 |
j-invariant |
L |
6.122304879576 |
L(r)(E,1)/r! |
Ω |
0.19162856409474 |
Real period |
R |
1.9968007248429 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999814061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42891n1 4437k1 |
Quadratic twists by: -3 29 |