Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696dm |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-270030454702272 = -1 · 26 · 39 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 4 1 11- 2 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15972,146410] |
[a1,a2,a3,a4,a6] |
Generators |
[41278685:14319965115:343] |
Generators of the group modulo torsion |
j |
45056/27 |
j-invariant |
L |
9.7718183037328 |
L(r)(E,1)/r! |
Ω |
0.33714935600936 |
Real period |
R |
14.491824068298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996704 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69696ha1 1089i1 23232cl1 69696dn1 |
Quadratic twists by: -4 8 -3 -11 |