Atkin-Lehner |
2- 3- 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
63960p |
Isogeny class |
Conductor |
63960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
226560 |
Modular degree for the optimal curve |
Δ |
-467707500000000 = -1 · 28 · 33 · 510 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 3 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29881,-2253925] |
[a1,a2,a3,a4,a6] |
Generators |
[2462:121875:1] |
Generators of the group modulo torsion |
j |
-11526133977631744/1826982421875 |
j-invariant |
L |
7.8229845177232 |
L(r)(E,1)/r! |
Ω |
0.17999087909044 |
Real period |
R |
1.8109678106792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996879 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127920c1 |
Quadratic twists by: -4 |