Atkin-Lehner |
2+ 5+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
47450g |
Isogeny class |
Conductor |
47450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
37248 |
Modular degree for the optimal curve |
Δ |
-1927656250 = -1 · 2 · 57 · 132 · 73 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 -2 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2876,59148] |
[a1,a2,a3,a4,a6] |
Generators |
[12:156:1] [-242:2873:8] |
Generators of the group modulo torsion |
j |
-168288035761/123370 |
j-invariant |
L |
4.5917712083078 |
L(r)(E,1)/r! |
Ω |
1.4657415964094 |
Real period |
R |
0.39159112523282 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9490j1 |
Quadratic twists by: 5 |