Atkin-Lehner |
2- 3+ 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
43608c |
Isogeny class |
Conductor |
43608 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-1395456 = -1 · 28 · 3 · 23 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -3 0 1 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17,69] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:2:1] [3:6:1] |
Generators of the group modulo torsion |
j |
-2249728/5451 |
j-invariant |
L |
6.8301959802516 |
L(r)(E,1)/r! |
Ω |
2.3909235980749 |
Real period |
R |
1.4283593138967 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87216b1 |
Quadratic twists by: -4 |