Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40656b |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-28621824 = -1 · 210 · 3 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11+ -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,48,-240] |
[a1,a2,a3,a4,a6] |
Generators |
[5:10:1] |
Generators of the group modulo torsion |
j |
8788/21 |
j-invariant |
L |
5.0409638245068 |
L(r)(E,1)/r! |
Ω |
1.085990275174 |
Real period |
R |
2.3209065217918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20328g1 121968ba1 40656o1 |
Quadratic twists by: -4 -3 -11 |