Atkin-Lehner |
2+ 3- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
92352bk |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-132997541391936 = -1 · 26 · 38 · 132 · 374 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2816,552806] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:702:1] [77:1110:1] |
Generators of the group modulo torsion |
j |
38573358759872/2078086584249 |
j-invariant |
L |
11.336354487564 |
L(r)(E,1)/r! |
Ω |
0.44423684310452 |
Real period |
R |
1.5949198416458 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000216 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92352p1 46176b2 |
Quadratic twists by: -4 8 |