Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105350cc |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-494033886718750 = -1 · 2 · 511 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 -3 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,19370,253747] |
[a1,a2,a3,a4,a6] |
Generators |
[209155202:6167329185:238328] |
Generators of the group modulo torsion |
j |
437245479/268750 |
j-invariant |
L |
8.7242804586296 |
L(r)(E,1)/r! |
Ω |
0.32311854887263 |
Real period |
R |
13.500123193777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21070f1 2150j1 |
Quadratic twists by: 5 -7 |