Atkin-Lehner |
2- 3+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
98880bj |
Isogeny class |
Conductor |
98880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
19009536 |
Modular degree for the optimal curve |
Δ |
-1.115805390597E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -3 0 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-194903105,1059636636897] |
[a1,a2,a3,a4,a6] |
Generators |
[12549:768000:1] |
Generators of the group modulo torsion |
j |
-3123489613629729792582289/42564597724800000000 |
j-invariant |
L |
4.4966674707354 |
L(r)(E,1)/r! |
Ω |
0.072053277566497 |
Real period |
R |
1.9502354804182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98880bc1 24720q1 |
Quadratic twists by: -4 8 |