Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
50784u |
Isogeny class |
Conductor |
50784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
120285673391616 = 29 · 3 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 2 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12872,-189480] |
[a1,a2,a3,a4,a6] |
Generators |
[299306777:-7539523370:456533] |
Generators of the group modulo torsion |
j |
3112136/1587 |
j-invariant |
L |
7.2197467174883 |
L(r)(E,1)/r! |
Ω |
0.47325338488856 |
Real period |
R |
15.255562766262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999655 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50784n2 101568bl2 2208i2 |
Quadratic twists by: -4 8 -23 |