Atkin-Lehner |
3- 5+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
95325u |
Isogeny class |
Conductor |
95325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
37236328125 = 3 · 510 · 31 · 41 |
Discriminant |
Eigenvalues |
0 3- 5+ 4 0 7 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2383,-44606] |
[a1,a2,a3,a4,a6] |
Generators |
[-41932:17822:1331] |
Generators of the group modulo torsion |
j |
95820414976/2383125 |
j-invariant |
L |
8.7311666599441 |
L(r)(E,1)/r! |
Ω |
0.6843241753012 |
Real period |
R |
6.3794083146014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999912335 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19065d1 |
Quadratic twists by: 5 |