Atkin-Lehner |
2- 3+ 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
100464bf |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
21299156640792576 = 216 · 39 · 74 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-349359752,-2513259294480] |
[a1,a2,a3,a4,a6] |
Generators |
[3011326391223464832111160130:-1547093545089794606875625731510:11350602784617285576113] |
Generators of the group modulo torsion |
j |
1151283756590458788537587593/5199989414256 |
j-invariant |
L |
6.1104207119284 |
L(r)(E,1)/r! |
Ω |
0.034920571040842 |
Real period |
R |
43.745137397584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986802 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558i2 |
Quadratic twists by: -4 |