Atkin-Lehner |
5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
935a |
Isogeny class |
Conductor |
935 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40 |
Modular degree for the optimal curve |
Δ |
-4675 = -1 · 52 · 11 · 17 |
Discriminant |
Eigenvalues |
0 -2 5+ 3 11- 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1,-4] |
[a1,a2,a3,a4,a6] |
Generators |
[2:2:1] |
Generators of the group modulo torsion |
j |
-262144/4675 |
j-invariant |
L |
1.5708761577045 |
L(r)(E,1)/r! |
Ω |
1.8682654971927 |
Real period |
R |
0.42041031107862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14960g1 59840n1 8415m1 4675k1 |
Quadratic twists by: -4 8 -3 5 |