Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640j |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3432467477760000 = 211 · 3 · 54 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-880960,318541600] |
[a1,a2,a3,a4,a6] |
Generators |
[-67275:40836320:2197] |
Generators of the group modulo torsion |
j |
784767874322/35625 |
j-invariant |
L |
5.7746904798441 |
L(r)(E,1)/r! |
Ω |
0.4193429271498 |
Real period |
R |
6.8854034536315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003702 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43320bg4 4560j3 |
Quadratic twists by: -4 -19 |