Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50715r |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-82671789375 = -1 · 36 · 54 · 73 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 -4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,337,13542] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:93:1] |
Generators of the group modulo torsion |
j |
16974593/330625 |
j-invariant |
L |
3.368538289587 |
L(r)(E,1)/r! |
Ω |
0.80711165192706 |
Real period |
R |
1.0433929065331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5635i1 50715bo1 |
Quadratic twists by: -3 -7 |