Atkin-Lehner |
2- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
83300bg |
Isogeny class |
Conductor |
83300 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
8059392 |
Modular degree for the optimal curve |
Δ |
-9.0318016962806E+23 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 7 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17555720,-53779964700] |
[a1,a2,a3,a4,a6] |
Generators |
[152530:20462645:8] |
Generators of the group modulo torsion |
j |
-158943008967155712/239903274153431 |
j-invariant |
L |
6.5391226141536 |
L(r)(E,1)/r! |
Ω |
0.035000906065244 |
Real period |
R |
1.4153578646043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003081 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83300ba1 11900g1 |
Quadratic twists by: 5 -7 |