Atkin-Lehner |
2- 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27280m |
Isogeny class |
Conductor |
27280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-1745920000 = -1 · 213 · 54 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 11- -4 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-203,2298] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:50:1] |
Generators of the group modulo torsion |
j |
-225866529/426250 |
j-invariant |
L |
3.9096294110022 |
L(r)(E,1)/r! |
Ω |
1.3298453146736 |
Real period |
R |
0.73497822789294 |
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 |
3410b1 109120bf1 |
Quadratic twists by: -4 8 |