Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
88800bh |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
140343890625000000 = 26 · 38 · 512 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-180158,23328312] |
[a1,a2,a3,a4,a6] |
Generators |
[8695:416988:125] |
Generators of the group modulo torsion |
j |
646676052458176/140343890625 |
j-invariant |
L |
4.3240680318022 |
L(r)(E,1)/r! |
Ω |
0.3087965292689 |
Real period |
R |
7.0014841769397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010782 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
88800cd1 17760j1 |
Quadratic twists by: -4 5 |