Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930bu |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-8280560156400000 = -1 · 27 · 33 · 55 · 79 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 -3 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31043,4855358] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:-2540:1] |
Generators of the group modulo torsion |
j |
-28119423707929/70383600000 |
j-invariant |
L |
5.2683718511908 |
L(r)(E,1)/r! |
Ω |
0.36618008124334 |
Real period |
R |
0.23978966092777 |
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 |
83790ep1 3990e1 |
Quadratic twists by: -3 -7 |