Atkin-Lehner |
3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
1815d |
Isogeny class |
Conductor |
1815 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
432 |
Modular degree for the optimal curve |
Δ |
-59541075 = -1 · 39 · 52 · 112 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 11- -2 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-51,380] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:22:1] |
Generators of the group modulo torsion |
j |
-123633664/492075 |
j-invariant |
L |
2.8324658733925 |
L(r)(E,1)/r! |
Ω |
1.7238110846557 |
Real period |
R |
0.091285649912099 |
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 |
29040cc1 116160bp1 5445k1 9075g1 |
Quadratic twists by: -4 8 -3 5 |