Atkin-Lehner |
2+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
60200b |
Isogeny class |
Conductor |
60200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
629760 |
Modular degree for the optimal curve |
Δ |
-619716107500000000 = -1 · 28 · 510 · 78 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -1 1 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-160833,45232963] |
[a1,a2,a3,a4,a6] |
Generators |
[167:-4802:1] |
Generators of the group modulo torsion |
j |
-184039859200/247886443 |
j-invariant |
L |
3.028645604204 |
L(r)(E,1)/r! |
Ω |
0.26059982412733 |
Real period |
R |
1.4527281505645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999566 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120400k1 60200t1 |
Quadratic twists by: -4 5 |