Atkin-Lehner |
5+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
56525s |
Isogeny class |
Conductor |
56525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-346893925 = -1 · 52 · 7 · 172 · 193 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- 6 -3 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-203,-1514] |
[a1,a2,a3,a4,a6] |
Generators |
[1222:14481:8] |
Generators of the group modulo torsion |
j |
-37017366745/13875757 |
j-invariant |
L |
6.2774122294204 |
L(r)(E,1)/r! |
Ω |
0.62079490699261 |
Real period |
R |
5.0559469470418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998782 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56525u1 |
Quadratic twists by: 5 |