Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800gz |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3429216000000000 = 214 · 37 · 59 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61500,5150000] |
[a1,a2,a3,a4,a6] |
Generators |
[-275:1125:1] |
Generators of the group modulo torsion |
j |
1102736/147 |
j-invariant |
L |
7.7118148803419 |
L(r)(E,1)/r! |
Ω |
0.42902758053279 |
Real period |
R |
2.2468878554163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969397 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800pw2 6300x2 33600br2 100800ih2 |
Quadratic twists by: -4 8 -3 5 |