Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736db |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
4 |
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] |
Generators |
[48:588:1] |
Generators of the group modulo torsion |
j |
212776173/1009792 |
j-invariant |
L |
7.2268772530108 |
L(r)(E,1)/r! |
Ω |
0.53502461481061 |
Real period |
R |
3.3768900724572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736m1 23184y1 92736cu1 |
Quadratic twists by: -4 8 -3 |