Atkin-Lehner |
2- 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
112554ba |
Isogeny class |
Conductor |
112554 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1317888 |
Modular degree for the optimal curve |
Δ |
164756253074647104 = 26 · 38 · 139 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 0 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-173426,-19739599] |
[a1,a2,a3,a4,a6] |
j |
74618461/21312 |
j-invariant |
L |
2.8684144897372 |
L(r)(E,1)/r! |
Ω |
0.2390345388582 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37518i1 112554n1 |
Quadratic twists by: -3 13 |