Atkin-Lehner |
2- 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
98700w |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
6072363281250000 = 24 · 33 · 514 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47033,-1180812] |
[a1,a2,a3,a4,a6] |
Generators |
[-1606:3675:8] |
Generators of the group modulo torsion |
j |
46025761275904/24289453125 |
j-invariant |
L |
7.6217364399973 |
L(r)(E,1)/r! |
Ω |
0.34397859382142 |
Real period |
R |
3.6929315678866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999910718 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19740f1 |
Quadratic twists by: 5 |