Atkin-Lehner |
2+ 3- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
101184l |
Isogeny class |
Conductor |
101184 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-254073024 = -1 · 26 · 35 · 17 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 -1 -1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-501,4221] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:93:1] [12:9:1] |
Generators of the group modulo torsion |
j |
-217732612096/3969891 |
j-invariant |
L |
12.199446074759 |
L(r)(E,1)/r! |
Ω |
1.7525377957844 |
Real period |
R |
0.6961017391155 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997114 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101184t1 1581a1 |
Quadratic twists by: -4 8 |