Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
88800q |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-39920040000000000 = -1 · 212 · 36 · 510 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,66367,-6985137] |
[a1,a2,a3,a4,a6] |
Generators |
[343:-7500:1] |
Generators of the group modulo torsion |
j |
505119057344/623750625 |
j-invariant |
L |
8.3332391945489 |
L(r)(E,1)/r! |
Ω |
0.19457606216292 |
Real period |
R |
0.89224310412959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88800bg2 17760u2 |
Quadratic twists by: -4 5 |