Atkin-Lehner |
2+ 3- 7- 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
124614g |
Isogeny class |
Conductor |
124614 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-206033298408 = -1 · 23 · 312 · 72 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 -4 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1323,-11907] |
[a1,a2,a3,a4,a6] |
Generators |
[21:147:1] |
Generators of the group modulo torsion |
j |
351148691375/282624552 |
j-invariant |
L |
3.9983522171575 |
L(r)(E,1)/r! |
Ω |
0.55588629152102 |
Real period |
R |
1.7981879890018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016262 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41538n1 |
Quadratic twists by: -3 |