Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
93100bk |
Isogeny class |
Conductor |
93100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
65170000 = 24 · 54 · 73 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 1 -3 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-233,-1238] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:7:1] [-7:1:1] |
Generators of the group modulo torsion |
j |
409600/19 |
j-invariant |
L |
9.1836386036503 |
L(r)(E,1)/r! |
Ω |
1.2250427188837 |
Real period |
R |
1.2494310690611 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93100g1 93100bu1 |
Quadratic twists by: 5 -7 |