Atkin-Lehner |
5- 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
98735q |
Isogeny class |
Conductor |
98735 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1213632 |
Modular degree for the optimal curve |
Δ |
9815582542675 = 52 · 78 · 133 · 31 |
Discriminant |
Eigenvalues |
-1 -1 5- 7+ -2 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3160795,-2164247730] |
[a1,a2,a3,a4,a6] |
Generators |
[8640927:925223887:729] |
Generators of the group modulo torsion |
j |
605798773347738481/1702675 |
j-invariant |
L |
2.9559435764819 |
L(r)(E,1)/r! |
Ω |
0.11322712279085 |
Real period |
R |
13.05316038353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999640484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98735i1 |
Quadratic twists by: -7 |