Atkin-Lehner |
2+ 3- 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48906o |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-3400685309433544704 = -1 · 216 · 315 · 114 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 11- 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17529840,-28245535488] |
[a1,a2,a3,a4,a6] |
Generators |
[3339168:290115888:343] |
Generators of the group modulo torsion |
j |
-817203191924493671120641/4664863250251776 |
j-invariant |
L |
4.5022037350729 |
L(r)(E,1)/r! |
Ω |
0.036891381684464 |
Real period |
R |
7.6274652938376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16302r1 |
Quadratic twists by: -3 |