Atkin-Lehner |
2- 3- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
97350ck |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
1760 |
Product of Tamagawa factors cp |
deg |
5913600 |
Modular degree for the optimal curve |
Δ |
-1.0360032731136E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ -7 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-702088,539465792] |
[a1,a2,a3,a4,a6] |
Generators |
[656:18680:1] [-928:20264:1] |
Generators of the group modulo torsion |
j |
-2449505254135564729/6630420947927040 |
j-invariant |
L |
18.372905774148 |
L(r)(E,1)/r! |
Ω |
0.16643220710391 |
Real period |
R |
0.062723142295619 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19470a1 |
Quadratic twists by: 5 |