Atkin-Lehner |
2+ 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736m |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-7147194679296 = -1 · 225 · 33 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 2 5 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2388,-120528] |
[a1,a2,a3,a4,a6] |
j |
212776173/1009792 |
j-invariant |
L |
4.5080714571573 |
L(r)(E,1)/r! |
Ω |
0.37567261847676 |
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 |
92736db1 2898l1 92736t1 |
Quadratic twists by: -4 8 -3 |