Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
95400n |
Isogeny class |
Conductor |
95400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1064960 |
Modular degree for the optimal curve |
Δ |
506994714000000000 = 210 · 314 · 59 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-262875,-38956250] |
[a1,a2,a3,a4,a6] |
Generators |
[-51005:76032:125] |
Generators of the group modulo torsion |
j |
1377888404/347733 |
j-invariant |
L |
6.2492499238137 |
L(r)(E,1)/r! |
Ω |
0.21475683954757 |
Real period |
R |
7.2747973258448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999929969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31800bb1 95400bm1 |
Quadratic twists by: -3 5 |