Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27930dk |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-7601428800000 = -1 · 29 · 36 · 55 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26055,1622025] |
[a1,a2,a3,a4,a6] |
Generators |
[60:-555:1] |
Generators of the group modulo torsion |
j |
-5703006497280247/22161600000 |
j-invariant |
L |
10.555741877099 |
L(r)(E,1)/r! |
Ω |
0.74507442588808 |
Real period |
R |
0.026235862436799 |
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 |
83790bb1 27930cf1 |
Quadratic twists by: -3 -7 |