Atkin-Lehner |
2- 3+ 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
100254bl |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
127680 |
Modular degree for the optimal curve |
Δ |
-78842953728 = -1 · 219 · 32 · 72 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1058,18479] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:67:1] [-7:163:1] |
Generators of the group modulo torsion |
j |
-2673069744625/1609039872 |
j-invariant |
L |
14.223891433778 |
L(r)(E,1)/r! |
Ω |
1.0050429940677 |
Real period |
R |
0.37243474625175 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100254cb1 |
Quadratic twists by: -7 |