Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200iu |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
3742848000 = 210 · 34 · 53 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 -6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-413,1203] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:60:1] [-2:45:1] |
Generators of the group modulo torsion |
j |
61011968/29241 |
j-invariant |
L |
11.971346633735 |
L(r)(E,1)/r! |
Ω |
1.2462600914644 |
Real period |
R |
1.2007271511694 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998447 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200ce1 22800q1 91200gu1 |
Quadratic twists by: -4 8 5 |