Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72800bv |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
542720 |
Modular degree for the optimal curve |
Δ |
3901625000000 = 26 · 59 · 74 · 13 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 4 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1300458,570378088] |
[a1,a2,a3,a4,a6] |
Generators |
[577:3528:1] |
Generators of the group modulo torsion |
j |
1945821622203584/31213 |
j-invariant |
L |
3.6748636693186 |
L(r)(E,1)/r! |
Ω |
0.55927390746059 |
Real period |
R |
3.2853880895416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001616 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72800bd1 72800be1 |
Quadratic twists by: -4 5 |