Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400cg |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
82240312500000000 = 28 · 36 · 513 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-93748575,-349377655250] |
[a1,a2,a3,a4,a6] |
Generators |
[-20277889866662147052037282470563:-34083002601279985373147240964:3627378785742621948472917293] |
Generators of the group modulo torsion |
j |
31248575021659890256/28203125 |
j-invariant |
L |
8.6739745383057 |
L(r)(E,1)/r! |
Ω |
0.048518613974573 |
Real period |
R |
44.694055679626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000455 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34200y2 7600f2 13680r2 |
Quadratic twists by: -4 -3 5 |