Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960bv |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
182 |
Product of Tamagawa factors cp |
deg |
2882880 |
Modular degree for the optimal curve |
Δ |
-8.5431097089844E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 -4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,374540,435984233] |
[a1,a2,a3,a4,a6] |
Generators |
[536:-28125:1] |
Generators of the group modulo torsion |
j |
3086803246205696/45384521484375 |
j-invariant |
L |
9.662001347605 |
L(r)(E,1)/r! |
Ω |
0.14223621649939 |
Real period |
R |
0.37323770788362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012821 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2040b1 |
Quadratic twists by: -7 |