Atkin-Lehner |
2- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83752b |
Isogeny class |
Conductor |
83752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-424153209863115776 = -1 · 210 · 198 · 293 |
Discriminant |
Eigenvalues |
2- -1 -3 0 5 -1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-257152,59255516] |
[a1,a2,a3,a4,a6] |
Generators |
[982:27436:1] |
Generators of the group modulo torsion |
j |
-39036741412/8804429 |
j-invariant |
L |
3.4686624066553 |
L(r)(E,1)/r! |
Ω |
0.28490157723157 |
Real period |
R |
1.5218687296432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999865579 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4408b1 |
Quadratic twists by: -19 |