Atkin-Lehner |
2- 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
95760dj |
Isogeny class |
Conductor |
95760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14717631034552320 = 212 · 38 · 5 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-663843,208101602] |
[a1,a2,a3,a4,a6] |
Generators |
[487:558:1] [514:1638:1] |
Generators of the group modulo torsion |
j |
10835086336331041/4928904855 |
j-invariant |
L |
9.9780808105707 |
L(r)(E,1)/r! |
Ω |
0.38873412575757 |
Real period |
R |
12.834068518116 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999655 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5985j3 31920be4 |
Quadratic twists by: -4 -3 |