Atkin-Lehner |
2- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
124600q |
Isogeny class |
Conductor |
124600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165120 |
Modular degree for the optimal curve |
Δ |
-486718750000 = -1 · 24 · 511 · 7 · 89 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -3 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17450,-887875] |
[a1,a2,a3,a4,a6] |
Generators |
[730:19375:1] |
Generators of the group modulo torsion |
j |
-2350552725504/1946875 |
j-invariant |
L |
4.5268366419116 |
L(r)(E,1)/r! |
Ω |
0.20768213029213 |
Real period |
R |
2.7246184957172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000120438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24920a1 |
Quadratic twists by: 5 |