Atkin-Lehner |
2+ 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650bc |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-123631863421500000 = -1 · 25 · 37 · 56 · 76 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,65358,15630516] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:3513:1] |
Generators of the group modulo torsion |
j |
2710620272807/10853826144 |
j-invariant |
L |
4.8168326784848 |
L(r)(E,1)/r! |
Ω |
0.23573592436032 |
Real period |
R |
1.2770732464264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32550ch2 3906v2 |
Quadratic twists by: -3 5 |