Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50715n |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-55479959521875 = -1 · 38 · 55 · 76 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -4 0 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-322518,-70499277] |
[a1,a2,a3,a4,a6] |
Generators |
[116588858339:1280660076166:163667323] |
Generators of the group modulo torsion |
j |
-43258336804864/646875 |
j-invariant |
L |
3.6977133876152 |
L(r)(E,1)/r! |
Ω |
0.10016838686729 |
Real period |
R |
18.457486954013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16905bc1 1035c1 |
Quadratic twists by: -3 -7 |