Atkin-Lehner |
2+ 3+ 5- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109650g |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1218240 |
Modular degree for the optimal curve |
Δ |
-191094250781250 = -1 · 2 · 39 · 58 · 172 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 6 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-428825,-108266625] |
[a1,a2,a3,a4,a6] |
j |
-22325723857151545/489201282 |
j-invariant |
L |
0.5596934987069 |
L(r)(E,1)/r! |
Ω |
0.093282211172769 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109650dd1 |
Quadratic twists by: 5 |