Atkin-Lehner |
2+ 7- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
124558g |
Isogeny class |
Conductor |
124558 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
652800 |
Modular degree for the optimal curve |
Δ |
-206080947808946 = -1 · 2 · 711 · 31 · 412 |
Discriminant |
Eigenvalues |
2+ 3 1 7- -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1969,691991] |
[a1,a2,a3,a4,a6] |
Generators |
[1335:22142:27] |
Generators of the group modulo torsion |
j |
-7177888089/1751659154 |
j-invariant |
L |
10.283378194499 |
L(r)(E,1)/r! |
Ω |
0.45896085439663 |
Real period |
R |
2.8007231512718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998745643 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17794e1 |
Quadratic twists by: -7 |