Atkin-Lehner |
2+ 3+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
92352p |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
16 |
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 |
[3693:41588:27] |
Generators of the group modulo torsion |
j |
38573358759872/2078086584249 |
j-invariant |
L |
5.3194092335985 |
L(r)(E,1)/r! |
Ω |
0.27941571818447 |
Real period |
R |
4.7594040808289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926664 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92352bk1 46176w2 |
Quadratic twists by: -4 8 |