Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34650i |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-42099750000 = -1 · 24 · 37 · 56 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,783,4941] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:459:8] [-2:59:1] |
Generators of the group modulo torsion |
j |
4657463/3696 |
j-invariant |
L |
6.3624924613567 |
L(r)(E,1)/r! |
Ω |
0.73594830099898 |
Real period |
R |
1.0806622647135 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550cg1 1386l1 |
Quadratic twists by: -3 5 |