Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
23850ce |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-293399718750 = -1 · 2 · 311 · 56 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -5 0 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,445,25697] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:965:8] |
Generators of the group modulo torsion |
j |
857375/25758 |
j-invariant |
L |
7.3975273939147 |
L(r)(E,1)/r! |
Ω |
0.73248861110155 |
Real period |
R |
2.5247926321987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7950t1 954d1 |
Quadratic twists by: -3 5 |