Atkin-Lehner |
2- 3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
72618bx |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
660 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-72899121125376 = -1 · 211 · 35 · 74 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -5 13+ -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7302,475236] |
[a1,a2,a3,a4,a6] |
Generators |
[1572:61458:1] [-100:506:1] |
Generators of the group modulo torsion |
j |
-17933322358273/30361982976 |
j-invariant |
L |
14.970943683364 |
L(r)(E,1)/r! |
Ω |
0.5498346233688 |
Real period |
R |
0.041254673752878 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999913 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72618bs1 |
Quadratic twists by: -7 |