Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46550bc |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
353780000 = 25 · 54 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 0 -2 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2942,-60684] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:18:1] |
Generators of the group modulo torsion |
j |
91972640025/11552 |
j-invariant |
L |
3.4352167334277 |
L(r)(E,1)/r! |
Ω |
0.64823912747218 |
Real period |
R |
0.88321747017457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46550bv1 46550z1 |
Quadratic twists by: 5 -7 |