Atkin-Lehner |
2- 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
96432cg |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
-66981637884672 = -1 · 28 · 33 · 78 · 412 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 0 -1 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10061,-556473] |
[a1,a2,a3,a4,a6] |
Generators |
[163:1470:1] |
Generators of the group modulo torsion |
j |
-76324864/45387 |
j-invariant |
L |
11.700771063139 |
L(r)(E,1)/r! |
Ω |
0.23202420199247 |
Real period |
R |
1.4008082584764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003172 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24108b1 96432ca1 |
Quadratic twists by: -4 -7 |