Atkin-Lehner |
2- 3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350dc |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
7202376562500 = 22 · 33 · 58 · 7 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-267005,53170497] |
[a1,a2,a3,a4,a6] |
Generators |
[2142:6175:8] |
Generators of the group modulo torsion |
j |
4989954429855387/17072300 |
j-invariant |
L |
10.219266190748 |
L(r)(E,1)/r! |
Ω |
0.65158926924789 |
Real period |
R |
1.3069667582695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001108 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91350b3 18270c1 |
Quadratic twists by: -3 5 |