Atkin-Lehner |
2- 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
96432bs |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
102422892773376 = 218 · 34 · 76 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52152,4575600] |
[a1,a2,a3,a4,a6] |
j |
32553430057/212544 |
j-invariant |
L |
2.4012170258216 |
L(r)(E,1)/r! |
Ω |
0.60030430063089 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12054s1 1968l1 |
Quadratic twists by: -4 -7 |