Atkin-Lehner |
2+ 5- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
100430s |
Isogeny class |
Conductor |
100430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-32348703860 = -1 · 22 · 5 · 117 · 83 |
Discriminant |
Eigenvalues |
2+ -1 5- -4 11- -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,603,6769] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:63:1] [10:113:1] |
Generators of the group modulo torsion |
j |
13651919/18260 |
j-invariant |
L |
6.0537686822443 |
L(r)(E,1)/r! |
Ω |
0.78778816233486 |
Real period |
R |
0.96056417373778 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9130j1 |
Quadratic twists by: -11 |