Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736x |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-61465474873248768 = -1 · 210 · 39 · 78 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 0 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67392,13697640] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:4508:1] |
Generators of the group modulo torsion |
j |
-1679412953088/3049579729 |
j-invariant |
L |
4.3761132451993 |
L(r)(E,1)/r! |
Ω |
0.31292721644187 |
Real period |
R |
0.87402777118514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736cz1 5796d1 92736q1 |
Quadratic twists by: -4 8 -3 |