Atkin-Lehner |
5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
15575h |
Isogeny class |
Conductor |
15575 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
9360 |
Modular degree for the optimal curve |
Δ |
934889375 = 54 · 75 · 89 |
Discriminant |
Eigenvalues |
-1 -2 5- 7- -4 -7 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-413,2842] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:84:1] [7:14:1] |
Generators of the group modulo torsion |
j |
12466931425/1495823 |
j-invariant |
L |
3.2679298586664 |
L(r)(E,1)/r! |
Ω |
1.5171561865137 |
Real period |
R |
0.14359892047662 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15575d1 109025s1 |
Quadratic twists by: 5 -7 |