Atkin-Lehner |
2- 3+ 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20460c |
Isogeny class |
Conductor |
20460 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
66465559123920 = 24 · 310 · 5 · 114 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-99665,12137430] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:4860:1] |
Generators of the group modulo torsion |
j |
6842835507802095616/4154097445245 |
j-invariant |
L |
4.0782009392166 |
L(r)(E,1)/r! |
Ω |
0.61216080807485 |
Real period |
R |
3.3309882676432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840dn1 61380j1 102300o1 |
Quadratic twists by: -4 -3 5 |