Atkin-Lehner |
3- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
98325bi |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
838868001531890625 = 312 · 56 · 192 · 234 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1273280,-550934278] |
[a1,a2,a3,a4,a6] |
Generators |
[13182:334955:8] |
Generators of the group modulo torsion |
j |
20042301472793137/73645476129 |
j-invariant |
L |
4.624784779288 |
L(r)(E,1)/r! |
Ω |
0.1421557969458 |
Real period |
R |
4.0666515873604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001884 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32775t2 3933a2 |
Quadratic twists by: -3 5 |