Atkin-Lehner |
2+ 3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31350o |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
23784304500 = 22 · 32 · 53 · 114 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11- -6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-720,-900] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:46:1] [51:-339:1] |
Generators of the group modulo torsion |
j |
330943097213/190274436 |
j-invariant |
L |
5.1698592671144 |
L(r)(E,1)/r! |
Ω |
1.0018607196112 |
Real period |
R |
0.32251609217697 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94050dy2 31350ck2 |
Quadratic twists by: -3 5 |