Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60760r |
Isogeny class |
Conductor |
60760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
217302644258000 = 24 · 53 · 76 · 314 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17738,569037] |
[a1,a2,a3,a4,a6] |
Generators |
[294:4557:1] |
Generators of the group modulo torsion |
j |
327890958336/115440125 |
j-invariant |
L |
3.6128462875824 |
L(r)(E,1)/r! |
Ω |
0.5146754073602 |
Real period |
R |
3.5098299196715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000066 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121520g1 1240g1 |
Quadratic twists by: -4 -7 |