Atkin-Lehner |
2- 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
39396r |
Isogeny class |
Conductor |
39396 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
23760 |
Modular degree for the optimal curve |
Δ |
-6053746944 = -1 · 28 · 3 · 76 · 67 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -2 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-604,-7036] |
[a1,a2,a3,a4,a6] |
Generators |
[1060:34518:1] |
Generators of the group modulo torsion |
j |
-810448/201 |
j-invariant |
L |
8.6339898683385 |
L(r)(E,1)/r! |
Ω |
0.47524156086848 |
Real period |
R |
6.0558605554613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118188bl1 804c1 |
Quadratic twists by: -3 -7 |