Atkin-Lehner |
2- 3- 5- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350cv |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
306 |
Product of Tamagawa factors cp |
deg |
646272 |
Modular degree for the optimal curve |
Δ |
4868067584448000 = 29 · 317 · 53 · 19 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-49843,-2664223] |
[a1,a2,a3,a4,a6] |
Generators |
[-148:1289:1] |
Generators of the group modulo torsion |
j |
109553628488089157/38944540675584 |
j-invariant |
L |
13.090742776148 |
L(r)(E,1)/r! |
Ω |
0.32890905070609 |
Real period |
R |
0.13006697460998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000848 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88350s1 |
Quadratic twists by: 5 |