Atkin-Lehner |
2+ 3- 7+ 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
116298i |
Isogeny class |
Conductor |
116298 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-28656059796 = -1 · 22 · 38 · 7 · 133 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -4 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1386,21816] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:192:1] [-30:204:1] |
Generators of the group modulo torsion |
j |
-404075127457/39308724 |
j-invariant |
L |
6.9452032993622 |
L(r)(E,1)/r! |
Ω |
1.1525074821119 |
Real period |
R |
0.25109031858722 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999982423 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38766bd1 |
Quadratic twists by: -3 |