Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
71736p |
Isogeny class |
Conductor |
71736 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
768000 |
Modular degree for the optimal curve |
Δ |
-30013352254964736 = -1 · 210 · 35 · 711 · 61 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 2 -4 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54112,-9659056] |
[a1,a2,a3,a4,a6] |
Generators |
[296:588:1] |
Generators of the group modulo torsion |
j |
-145453541188/249130161 |
j-invariant |
L |
6.6785085297791 |
L(r)(E,1)/r! |
Ω |
0.14789733569997 |
Real period |
R |
2.2578190803044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10248e1 |
Quadratic twists by: -7 |