Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200cz |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2222316000000000000 = 214 · 34 · 512 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3695633,-2734813137] |
[a1,a2,a3,a4,a6] |
Generators |
[-1121:744:1] [-1097:600:1] |
Generators of the group modulo torsion |
j |
21804712949838544/8680921875 |
j-invariant |
L |
12.481651114937 |
L(r)(E,1)/r! |
Ω |
0.10888992846492 |
Real period |
R |
7.1641446153063 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000135 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200fw4 5700f4 18240n4 |
Quadratic twists by: -4 8 5 |