Atkin-Lehner |
5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
18515k |
Isogeny class |
Conductor |
18515 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
119232 |
Modular degree for the optimal curve |
Δ |
15444884072045225 = 52 · 73 · 239 |
Discriminant |
Eigenvalues |
-1 -2 5- 7+ 2 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-66665,2847592] |
[a1,a2,a3,a4,a6] |
Generators |
[-201:2953:1] |
Generators of the group modulo torsion |
j |
18191447/8575 |
j-invariant |
L |
1.793406594168 |
L(r)(E,1)/r! |
Ω |
0.35094538618037 |
Real period |
R |
5.1102156198353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92575s1 129605i1 18515h1 |
Quadratic twists by: 5 -7 -23 |