Atkin-Lehner |
2- 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
96432ca |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-569334528 = -1 · 28 · 33 · 72 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 0 1 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-205,1681] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:34:1] [0:41:1] |
Generators of the group modulo torsion |
j |
-76324864/45387 |
j-invariant |
L |
7.6783351154622 |
L(r)(E,1)/r! |
Ω |
1.5163850183487 |
Real period |
R |
1.2658947136939 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24108n1 96432cg1 |
Quadratic twists by: -4 -7 |