Atkin-Lehner |
2- 3+ 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
103350bj |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
deg |
2316288 |
Modular degree for the optimal curve |
Δ |
162555494400000000 = 226 · 32 · 58 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -6 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-344563,-75536719] |
[a1,a2,a3,a4,a6] |
Generators |
[-349:1710:1] |
Generators of the group modulo torsion |
j |
289540743311301481/10403551641600 |
j-invariant |
L |
9.7092635853894 |
L(r)(E,1)/r! |
Ω |
0.19748800659664 |
Real period |
R |
0.94545796067367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999698454 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20670o1 |
Quadratic twists by: 5 |