Atkin-Lehner |
2- 3- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96900br |
Isogeny class |
Conductor |
96900 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
1185408 |
Modular degree for the optimal curve |
Δ |
-71436129158880000 = -1 · 28 · 314 · 54 · 173 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17067,-12824937] |
[a1,a2,a3,a4,a6] |
Generators |
[849:24786:1] |
Generators of the group modulo torsion |
j |
3435973836800/446475807243 |
j-invariant |
L |
6.8241093289234 |
L(r)(E,1)/r! |
Ω |
0.16373770041538 |
Real period |
R |
0.33077047870215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055505 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96900b1 |
Quadratic twists by: 5 |