Atkin-Lehner |
2+ 3+ 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18354f |
Isogeny class |
Conductor |
18354 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-74003328 = -1 · 27 · 33 · 72 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 0 1 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8472,296640] |
[a1,a2,a3,a4,a6] |
Generators |
[53:-23:1] |
Generators of the group modulo torsion |
j |
-67260741124719241/74003328 |
j-invariant |
L |
2.1169068240226 |
L(r)(E,1)/r! |
Ω |
1.6336838068271 |
Real period |
R |
0.64789367905103 |
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 |
55062bu1 128478bk1 |
Quadratic twists by: -3 -7 |