Atkin-Lehner |
2- 3- 5- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109650do |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-699018750000 = -1 · 24 · 32 · 58 · 172 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -3 3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,362,-40108] |
[a1,a2,a3,a4,a6] |
Generators |
[98:920:1] |
Generators of the group modulo torsion |
j |
13428095/1789488 |
j-invariant |
L |
15.817103239588 |
L(r)(E,1)/r! |
Ω |
0.428043516271 |
Real period |
R |
2.3095057235023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017584 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109650c1 |
Quadratic twists by: 5 |