Atkin-Lehner |
2- 3- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640cj |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
941184 |
Modular degree for the optimal curve |
Δ |
-19005299508384000 = -1 · 28 · 319 · 53 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-127636,-18805336] |
[a1,a2,a3,a4,a6] |
j |
-898269606673846864/74239451204625 |
j-invariant |
L |
2.3882534363514 |
L(r)(E,1)/r! |
Ω |
0.12569758759283 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30660a1 |
Quadratic twists by: -4 |