Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50715m |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-88767935235 = -1 · 38 · 5 · 76 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 4 0 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-588,15349] |
[a1,a2,a3,a4,a6] |
Generators |
[1:121:1] |
Generators of the group modulo torsion |
j |
-262144/1035 |
j-invariant |
L |
4.7967465195206 |
L(r)(E,1)/r! |
Ω |
0.93784853099531 |
Real period |
R |
2.5573140869598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16905o1 1035d1 |
Quadratic twists by: -3 -7 |