Atkin-Lehner |
3- 5- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
18615k |
Isogeny class |
Conductor |
18615 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
26752 |
Modular degree for the optimal curve |
Δ |
-137399641875 = -1 · 311 · 54 · 17 · 73 |
Discriminant |
Eigenvalues |
0 3- 5- -3 -4 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-15335,726056] |
[a1,a2,a3,a4,a6] |
Generators |
[70:22:1] |
Generators of the group modulo torsion |
j |
-398844284797812736/137399641875 |
j-invariant |
L |
4.1510244370936 |
L(r)(E,1)/r! |
Ω |
1.0160907179157 |
Real period |
R |
0.09284748183993 |
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 |
55845d1 93075a1 |
Quadratic twists by: -3 5 |