Atkin-Lehner |
2+ 7+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
97552a |
Isogeny class |
Conductor |
97552 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
745812866899982336 = 211 · 75 · 136 · 672 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ -4 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-668032,206231520] |
[a1,a2,a3,a4,a6] |
Generators |
[-17612340:-591476340:29791] |
Generators of the group modulo torsion |
j |
16098529562447641346/364166438916007 |
j-invariant |
L |
10.103470039653 |
L(r)(E,1)/r! |
Ω |
0.28423092890348 |
Real period |
R |
8.8866736454501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48776d2 |
Quadratic twists by: -4 |