Atkin-Lehner |
3+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
24225f |
Isogeny class |
Conductor |
24225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-189027675 = -1 · 34 · 52 · 173 · 19 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -4 0 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-18,668] |
[a1,a2,a3,a4,a6] |
Generators |
[18:76:1] |
Generators of the group modulo torsion |
j |
-27258880/7561107 |
j-invariant |
L |
1.6121685806245 |
L(r)(E,1)/r! |
Ω |
1.4603135733552 |
Real period |
R |
0.18399799080144 |
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 |
72675bb1 24225p1 |
Quadratic twists by: -3 5 |