Atkin-Lehner |
2+ 3+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
72618j |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1204224 |
Modular degree for the optimal curve |
Δ |
335101683078070272 = 216 · 33 · 79 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 4 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-558625,158040373] |
[a1,a2,a3,a4,a6] |
Generators |
[47130:113011:125] |
Generators of the group modulo torsion |
j |
477753271609375/8304132096 |
j-invariant |
L |
3.8259426410755 |
L(r)(E,1)/r! |
Ω |
0.30457437249729 |
Real period |
R |
6.2808019746404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001735 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72618bd1 |
Quadratic twists by: -7 |