Atkin-Lehner |
3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
83655x |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
68640768 |
Modular degree for the optimal curve |
Δ |
-1.9186239897583E+26 |
Discriminant |
Eigenvalues |
2 3- 5- -4 11+ 13+ -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-594970077,-5625483631713] |
[a1,a2,a3,a4,a6] |
Generators |
[31683122655590053642069927759031296678647389367464461191114:1777527738674197550633356938426452128015947650587203270424453:1069203293111910052674162704963230598382306165552334184] |
Generators of the group modulo torsion |
j |
-6619442934477749579776/54525822852558915 |
j-invariant |
L |
11.050309376324 |
L(r)(E,1)/r! |
Ω |
0.015276794817083 |
Real period |
R |
90.417439559769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27885u1 6435m1 |
Quadratic twists by: -3 13 |