Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510t |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-10892047320000 = -1 · 26 · 38 · 54 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5535,-11075] |
[a1,a2,a3,a4,a6] |
Generators |
[65:-820:1] |
Generators of the group modulo torsion |
j |
74991286313/43560000 |
j-invariant |
L |
3.6807464074532 |
L(r)(E,1)/r! |
Ω |
0.42633945041653 |
Real period |
R |
1.0791713046467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bu1 48510bk1 |
Quadratic twists by: -3 -7 |