Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
96432l |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1021440 |
Modular degree for the optimal curve |
Δ |
-1384108565248862208 = -1 · 211 · 35 · 79 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -3 2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-335568,-93931020] |
[a1,a2,a3,a4,a6] |
Generators |
[702:4116:1] |
Generators of the group modulo torsion |
j |
-50565500750/16747803 |
j-invariant |
L |
7.6093656202937 |
L(r)(E,1)/r! |
Ω |
0.09754048106683 |
Real period |
R |
1.9503096381364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009159 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48216l1 96432g1 |
Quadratic twists by: -4 -7 |