Atkin-Lehner |
2- 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
98490bv |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-319107600 = -1 · 24 · 35 · 52 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1786,28916] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-28:1] |
Generators of the group modulo torsion |
j |
-12858407752561/6512400 |
j-invariant |
L |
11.206034390653 |
L(r)(E,1)/r! |
Ω |
1.6942923463989 |
Real period |
R |
0.16534977560214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017307 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98490bj1 |
Quadratic twists by: -7 |