Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736cc |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-99513888768 = -1 · 212 · 38 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,204,-15136] |
[a1,a2,a3,a4,a6] |
Generators |
[26:88:1] |
Generators of the group modulo torsion |
j |
314432/33327 |
j-invariant |
L |
5.5570479563124 |
L(r)(E,1)/r! |
Ω |
0.50477741033338 |
Real period |
R |
2.7522269437991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736bp1 46368t1 30912o1 |
Quadratic twists by: -4 8 -3 |