Atkin-Lehner |
2- 3+ 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
126480be |
Isogeny class |
Conductor |
126480 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-71458038000 = -1 · 24 · 37 · 53 · 17 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -3 2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-450,13527] |
[a1,a2,a3,a4,a6] |
Generators |
[29:155:1] |
Generators of the group modulo torsion |
j |
-631256717056/4466127375 |
j-invariant |
L |
5.7175775650345 |
L(r)(E,1)/r! |
Ω |
0.94065770535003 |
Real period |
R |
1.01304607142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012767 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31620k1 |
Quadratic twists by: -4 |