Atkin-Lehner |
2+ 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
7826f |
Isogeny class |
Conductor |
7826 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-15652 = -1 · 22 · 7 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ -2 0 7- -3 13- -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8151,282542] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:766:1] [38:148:1] |
Generators of the group modulo torsion |
j |
-59879725069515625/15652 |
j-invariant |
L |
3.2593441894769 |
L(r)(E,1)/r! |
Ω |
2.3169316406198 |
Real period |
R |
6.3303761731713 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
62608q1 70434bp1 54782q1 101738q1 |
Quadratic twists by: -4 -3 -7 13 |