Atkin-Lehner |
2- 3+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950bw |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
deg |
526417920 |
Modular degree for the optimal curve |
Δ |
9.7310117072399E+32 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29509722213,-1246819170848469] |
[a1,a2,a3,a4,a6] |
Generators |
[-118905:24161852:1] |
Generators of the group modulo torsion |
j |
181885907005643457401792138957449/62278474926335176212480000000 |
j-invariant |
L |
9.7098026048924 |
L(r)(E,1)/r! |
Ω |
0.011839447751229 |
Real period |
R |
3.4171788851749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965613 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590g1 |
Quadratic twists by: 5 |