Atkin-Lehner |
5+ 7- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
96425d |
Isogeny class |
Conductor |
96425 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1368576 |
Modular degree for the optimal curve |
Δ |
-129998082031015625 = -1 · 57 · 73 · 193 · 294 |
Discriminant |
Eigenvalues |
1 3 5+ 7- 0 4 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-63817,18439466] |
[a1,a2,a3,a4,a6] |
j |
-1839571477841889/8319877249985 |
j-invariant |
L |
6.8696209548312 |
L(r)(E,1)/r! |
Ω |
0.2862342110216 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19285b1 |
Quadratic twists by: 5 |