Atkin-Lehner |
2- 3- 7- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112518bl |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1492992 |
Modular degree for the optimal curve |
Δ |
-2097074535741648792 = -1 · 23 · 318 · 73 · 19 · 473 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,282460,38861471] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:2887:1] |
Generators of the group modulo torsion |
j |
3418759020573146375/2876645453692248 |
j-invariant |
L |
10.690046860433 |
L(r)(E,1)/r! |
Ω |
0.16915266706941 |
Real period |
R |
3.5109791631986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046576 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37506o1 |
Quadratic twists by: -3 |