Atkin-Lehner |
2+ 5- 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
79550c |
Isogeny class |
Conductor |
79550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
108903950000000 = 27 · 58 · 373 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5- 3 3 6 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16367,634541] |
[a1,a2,a3,a4,a6] |
Generators |
[-315809:244223:2197] |
Generators of the group modulo torsion |
j |
1241325995625/278794112 |
j-invariant |
L |
5.8774174228756 |
L(r)(E,1)/r! |
Ω |
0.55993758914498 |
Real period |
R |
10.496558077131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980372 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79550m1 |
Quadratic twists by: 5 |