Atkin-Lehner |
3- 5- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129675bm |
Isogeny class |
Conductor |
129675 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
83808 |
Modular degree for the optimal curve |
Δ |
-1170316875 = -1 · 3 · 54 · 7 · 13 · 193 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- -3 13- 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-358,-3206] |
[a1,a2,a3,a4,a6] |
Generators |
[28:97:1] |
Generators of the group modulo torsion |
j |
-8141516800/1872507 |
j-invariant |
L |
4.240445979871 |
L(r)(E,1)/r! |
Ω |
0.54203195238555 |
Real period |
R |
2.6077465809427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000160562 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129675a1 |
Quadratic twists by: 5 |