Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240v |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-283668480 = -1 · 212 · 36 · 5 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,55,777] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:24:1] |
Generators of the group modulo torsion |
j |
4410944/69255 |
j-invariant |
L |
4.2159793793196 |
L(r)(E,1)/r! |
Ω |
1.2889651737188 |
Real period |
R |
1.6354124476289 |
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 |
18240bk1 9120p1 54720bh1 91200ds1 |
Quadratic twists by: -4 8 -3 5 |