Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400ga |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
295187929344000000 = 214 · 34 · 56 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1006808,-388293612] |
[a1,a2,a3,a4,a6] |
Generators |
[1318:24000:1] |
Generators of the group modulo torsion |
j |
1763535241378513/4612311396 |
j-invariant |
L |
8.1567806204056 |
L(r)(E,1)/r! |
Ω |
0.15074090491273 |
Real period |
R |
3.3819538837996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991815 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11550i2 3696q2 |
Quadratic twists by: -4 5 |