Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
50960q |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-8182300672000000 = -1 · 224 · 56 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 3 13- -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,45064,2305136] |
[a1,a2,a3,a4,a6] |
Generators |
[162877:5403000:2197] |
Generators of the group modulo torsion |
j |
1029084842471/832000000 |
j-invariant |
L |
8.9221554197628 |
L(r)(E,1)/r! |
Ω |
0.26734603807295 |
Real period |
R |
8.3432650471247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6370a2 50960bv2 |
Quadratic twists by: -4 -7 |