Atkin-Lehner |
3- 5+ 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
65565i |
Isogeny class |
Conductor |
65565 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14836224 |
Modular degree for the optimal curve |
Δ |
-2.5597596478567E+23 |
Discriminant |
Eigenvalues |
1 3- 5+ 5 -2 -1 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-111671100,-454836616875] |
[a1,a2,a3,a4,a6] |
Generators |
[50018549073188586732:26522618950832997237921:177305420623339] |
Generators of the group modulo torsion |
j |
-211260628917111905292657601/351133010679931640625 |
j-invariant |
L |
7.6189465768687 |
L(r)(E,1)/r! |
Ω |
0.023218870843625 |
Real period |
R |
27.344663701138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21855c1 |
Quadratic twists by: -3 |