Atkin-Lehner |
2+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
1870d |
Isogeny class |
Conductor |
1870 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-6872107880 = -1 · 23 · 5 · 112 · 175 |
Discriminant |
Eigenvalues |
2+ 1 5+ 0 11- -3 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,76,-3974] |
[a1,a2,a3,a4,a6] |
Generators |
[136:1521:1] |
Generators of the group modulo torsion |
j |
49471280711/6872107880 |
j-invariant |
L |
2.4193941384504 |
L(r)(E,1)/r! |
Ω |
0.62890807282256 |
Real period |
R |
0.38469758029851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14960f1 59840m1 16830cj1 9350ba1 |
Quadratic twists by: -4 8 -3 5 |