Atkin-Lehner |
2- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
122740s |
Isogeny class |
Conductor |
122740 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
-759790978150000 = -1 · 24 · 55 · 17 · 197 |
Discriminant |
Eigenvalues |
2- 2 5- -3 -2 -1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10710,-1259275] |
[a1,a2,a3,a4,a6] |
Generators |
[155:2025:1] |
Generators of the group modulo torsion |
j |
180472064/1009375 |
j-invariant |
L |
8.9608372660699 |
L(r)(E,1)/r! |
Ω |
0.25333140051292 |
Real period |
R |
3.5371995720071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057324 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6460f1 |
Quadratic twists by: -19 |