Atkin-Lehner |
3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50715bw |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-3881979675 = -1 · 39 · 52 · 73 · 23 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- -3 2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-237027,44416552] |
[a1,a2,a3,a4,a6] |
Generators |
[280:31:1] |
Generators of the group modulo torsion |
j |
-5889731858034688/15525 |
j-invariant |
L |
3.1986634447715 |
L(r)(E,1)/r! |
Ω |
0.91814097834892 |
Real period |
R |
0.43548097735314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999271 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16905d1 50715bg1 |
Quadratic twists by: -3 -7 |