Atkin-Lehner |
2- 3- 5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
88350da |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
312 |
Product of Tamagawa factors cp |
deg |
648960 |
Modular degree for the optimal curve |
Δ |
-2900707200000000 = -1 · 213 · 34 · 58 · 192 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 3 -3 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7987,-2575983] |
[a1,a2,a3,a4,a6] |
Generators |
[802:22399:1] |
Generators of the group modulo torsion |
j |
144248508815/7425810432 |
j-invariant |
L |
14.529486933381 |
L(r)(E,1)/r! |
Ω |
0.21625753851767 |
Real period |
R |
0.21533986127469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88350i1 |
Quadratic twists by: 5 |