Atkin-Lehner |
2- 3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83904bq |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
-22061669843180736 = -1 · 26 · 36 · 197 · 232 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 -3 -2 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-305947,65424419] |
[a1,a2,a3,a4,a6] |
Generators |
[-622:3933:1] [266:1713:1] |
Generators of the group modulo torsion |
j |
-49486159972538348032/344713591299699 |
j-invariant |
L |
9.4863331749716 |
L(r)(E,1)/r! |
Ω |
0.38364622136235 |
Real period |
R |
0.2943663497977 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83904be1 41952l1 |
Quadratic twists by: -4 8 |