Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736de |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-249321231581184 = -1 · 215 · 39 · 75 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -2 1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19116,1269648] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:1512:1] |
Generators of the group modulo torsion |
j |
-1197770328/386561 |
j-invariant |
L |
8.818160594186 |
L(r)(E,1)/r! |
Ω |
0.52390408393604 |
Real period |
R |
2.1039539660932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999911417 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736dk1 46368be1 92736cx1 |
Quadratic twists by: -4 8 -3 |