Atkin-Lehner |
2+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
36256c |
Isogeny class |
Conductor |
36256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31488 |
Modular degree for the optimal curve |
Δ |
-57837891584 = -1 · 212 · 113 · 1032 |
Discriminant |
Eigenvalues |
2+ -1 3 -4 11+ 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-349,11957] |
[a1,a2,a3,a4,a6] |
Generators |
[4:103:1] |
Generators of the group modulo torsion |
j |
-1151022592/14120579 |
j-invariant |
L |
4.7309468785445 |
L(r)(E,1)/r! |
Ω |
0.94561139114054 |
Real period |
R |
1.2507640355402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36256l1 72512e1 |
Quadratic twists by: -4 8 |