Atkin-Lehner |
2- 5+ 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
127300f |
Isogeny class |
Conductor |
127300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-98502313343750000 = -1 · 24 · 59 · 196 · 67 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -6 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,106342,7025437] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:2375:1] |
Generators of the group modulo torsion |
j |
531978513172736/394009253375 |
j-invariant |
L |
3.1852764394159 |
L(r)(E,1)/r! |
Ω |
0.21493774739975 |
Real period |
R |
0.61748042113526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064804 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25460c1 |
Quadratic twists by: 5 |