Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119025bl |
Isogeny class |
Conductor |
119025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
221743575 = 36 · 52 · 233 |
Discriminant |
Eigenvalues |
-1 3- 5+ 5 -5 3 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12830,562542] |
[a1,a2,a3,a4,a6] |
Generators |
[65:-24:1] |
Generators of the group modulo torsion |
j |
1053224375 |
j-invariant |
L |
5.283990397633 |
L(r)(E,1)/r! |
Ω |
1.4832326000037 |
Real period |
R |
0.8906206793809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999799493 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13225d1 119025cl1 119025bn1 |
Quadratic twists by: -3 5 -23 |