Atkin-Lehner |
2- 7+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50344i |
Isogeny class |
Conductor |
50344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
32774404058776576 = 210 · 72 · 294 · 314 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15086419,22554194910] |
[a1,a2,a3,a4,a6] |
Generators |
[6409967330:127611621489:2197000] |
Generators of the group modulo torsion |
j |
370836310466705612190372/32006253963649 |
j-invariant |
L |
6.1545728502282 |
L(r)(E,1)/r! |
Ω |
0.28252520138294 |
Real period |
R |
10.892077627125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
100688k2 |
Quadratic twists by: -4 |