Atkin-Lehner |
2+ 7- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123662l |
Isogeny class |
Conductor |
123662 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-949241953386496 = -1 · 220 · 7 · 116 · 73 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40013,-3408795] |
[a1,a2,a3,a4,a6] |
Generators |
[195604358085:-6678460302000:167284151] |
Generators of the group modulo torsion |
j |
-3999236143617/535822336 |
j-invariant |
L |
3.3142956290513 |
L(r)(E,1)/r! |
Ω |
0.16752930245926 |
Real period |
R |
19.783378905744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998813772 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1022b1 |
Quadratic twists by: -11 |