Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200eh |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
22800000000 = 210 · 3 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -6 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2833,-58537] |
[a1,a2,a3,a4,a6] |
Generators |
[-834:575:27] |
Generators of the group modulo torsion |
j |
6288640/57 |
j-invariant |
L |
6.0076640031119 |
L(r)(E,1)/r! |
Ω |
0.65473067639571 |
Real period |
R |
3.058593006925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200he1 11400i1 91200k1 |
Quadratic twists by: -4 8 5 |