Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50715u |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-77810026785435 = -1 · 36 · 5 · 79 · 232 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 1 -7 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5733,456104] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-564:1] |
Generators of the group modulo torsion |
j |
-242970624/907235 |
j-invariant |
L |
2.6280298620843 |
L(r)(E,1)/r! |
Ω |
0.53403976777835 |
Real period |
R |
1.2302594397245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5635m1 7245o1 |
Quadratic twists by: -3 -7 |