Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510f |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
39227708422980 = 22 · 39 · 5 · 77 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-115845,-15144319] |
[a1,a2,a3,a4,a6] |
Generators |
[1031:30477:1] |
Generators of the group modulo torsion |
j |
74246873427/16940 |
j-invariant |
L |
4.1070678501535 |
L(r)(E,1)/r! |
Ω |
0.25878315395907 |
Real period |
R |
3.9676731148667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999947 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48510cf1 6930d1 |
Quadratic twists by: -3 -7 |