Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400he |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
146660709888000000 = 215 · 312 · 56 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-145208,-10730412] |
[a1,a2,a3,a4,a6] |
Generators |
[-266:3024:1] |
Generators of the group modulo torsion |
j |
5290763640625/2291573592 |
j-invariant |
L |
8.4044323968132 |
L(r)(E,1)/r! |
Ω |
0.25440017195562 |
Real period |
R |
0.68825559436499 |
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 |
11550a2 3696n2 |
Quadratic twists by: -4 5 |