Atkin-Lehner |
2+ 5+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
50150b |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4.4362884674072E+33 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29143889792,-3733144406032384] |
[a1,a2,a3,a4,a6] |
Generators |
[860529963157749167145000192645432583737399306790234604453587697400934016:873900890167253695284613943319899004211825854861206136634645837371802456192:809489459471266311962930393527001788600248837613653780649086240569] |
Generators of the group modulo torsion |
j |
-175204894325035567445155888485201/283922461914062500000000000000 |
j-invariant |
L |
4.7384715816351 |
L(r)(E,1)/r! |
Ω |
0.005470052165098 |
Real period |
R |
108.28213878538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10030l4 |
Quadratic twists by: 5 |