Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
94400cl |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
-755200000000 = -1 · 215 · 58 · 59 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 3 -1 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82700,9154000] |
[a1,a2,a3,a4,a6] |
Generators |
[165:25:1] |
Generators of the group modulo torsion |
j |
-122171605128/1475 |
j-invariant |
L |
5.1235674948334 |
L(r)(E,1)/r! |
Ω |
0.81692873362954 |
Real period |
R |
1.5679358827775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999889028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400bo1 47200a1 18880k1 |
Quadratic twists by: -4 8 5 |