Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200go |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-12825000000 = -1 · 26 · 33 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 3 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-708,-8838] |
[a1,a2,a3,a4,a6] |
Generators |
[71:542:1] |
Generators of the group modulo torsion |
j |
-1572160/513 |
j-invariant |
L |
6.0943027061329 |
L(r)(E,1)/r! |
Ω |
0.45515795630872 |
Real period |
R |
4.463141216491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200iz1 45600v1 91200hj1 |
Quadratic twists by: -4 8 5 |