Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
36400y |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-103876864000 = -1 · 211 · 53 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 0 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-848,17908] |
[a1,a2,a3,a4,a6] |
Generators |
[54:-364:1] |
Generators of the group modulo torsion |
j |
-263744458/405769 |
j-invariant |
L |
3.715173199548 |
L(r)(E,1)/r! |
Ω |
0.95223681728921 |
Real period |
R |
0.24384514519481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18200y2 36400w2 |
Quadratic twists by: -4 5 |