Atkin-Lehner |
3+ 11- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
26961c |
Isogeny class |
Conductor |
26961 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-5020650459 = -1 · 35 · 113 · 192 · 43 |
Discriminant |
Eigenvalues |
1 3+ 3 3 11- -4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10076,385143] |
[a1,a2,a3,a4,a6] |
Generators |
[22:407:1] |
Generators of the group modulo torsion |
j |
-113150254089942217/5020650459 |
j-invariant |
L |
7.5802026304764 |
L(r)(E,1)/r! |
Ω |
1.2840023257876 |
Real period |
R |
0.98392898494515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80883i1 |
Quadratic twists by: -3 |