Atkin-Lehner |
3+ 7+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
18921a |
Isogeny class |
Conductor |
18921 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-78162651 = -1 · 36 · 7 · 172 · 53 |
Discriminant |
Eigenvalues |
-2 3+ -3 7+ -5 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,98,-240] |
[a1,a2,a3,a4,a6] |
Generators |
[3:8:1] [10:40:1] |
Generators of the group modulo torsion |
j |
103029788672/78162651 |
j-invariant |
L |
2.5434400784282 |
L(r)(E,1)/r! |
Ω |
1.0788230502086 |
Real period |
R |
0.58940158859647 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56763j1 |
Quadratic twists by: -3 |