Atkin-Lehner |
2- 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
98700g |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3359232 |
Modular degree for the optimal curve |
Δ |
-1.4932464875723E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5778333,-5376587463] |
[a1,a2,a3,a4,a6] |
Generators |
[138517231995441570478793442616189803778:46339396801062553841091205062577663322575:1237100277756993053967970132898024] |
Generators of the group modulo torsion |
j |
-5334227016064000000/37331162189307 |
j-invariant |
L |
5.9206303680777 |
L(r)(E,1)/r! |
Ω |
0.048667311026979 |
Real period |
R |
60.827588818247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3948e1 |
Quadratic twists by: 5 |