Atkin-Lehner |
3- 5+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
10065i |
Isogeny class |
Conductor |
10065 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-24763674375 = -1 · 310 · 54 · 11 · 61 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2011,35360] |
[a1,a2,a3,a4,a6] |
Generators |
[23:26:1] |
Generators of the group modulo torsion |
j |
-899442534243889/24763674375 |
j-invariant |
L |
3.3367643333123 |
L(r)(E,1)/r! |
Ω |
1.1917574590664 |
Real period |
R |
0.5599737275278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30195l1 50325f1 110715m1 |
Quadratic twists by: -3 5 -11 |