Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400he |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-1400015054592000000 = -1 · 214 · 32 · 56 · 73 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-329208,92229588] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:11550:1] |
Generators of the group modulo torsion |
j |
-61653281712625/21875235228 |
j-invariant |
L |
8.4044323968132 |
L(r)(E,1)/r! |
Ω |
0.25440017195562 |
Real period |
R |
0.45883706291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002536 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550a3 3696n3 |
Quadratic twists by: -4 5 |