Atkin-Lehner |
2- 3+ 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
63960k |
Isogeny class |
Conductor |
63960 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
698880 |
Modular degree for the optimal curve |
Δ |
-16995483180000000 = -1 · 28 · 313 · 57 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 4 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-440825,-112681875] |
[a1,a2,a3,a4,a6] |
Generators |
[775:3250:1] |
Generators of the group modulo torsion |
j |
-37006957431364258816/66388606171875 |
j-invariant |
L |
4.6716833301428 |
L(r)(E,1)/r! |
Ω |
0.092630973810591 |
Real period |
R |
3.602376750482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127920t1 |
Quadratic twists by: -4 |