Atkin-Lehner |
2- 43- |
Signs for the Atkin-Lehner involutions |
Class |
118336bk |
Isogeny class |
Conductor |
118336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-4453476124377088 = -1 · 214 · 437 |
Discriminant |
Eigenvalues |
2- 2 0 -4 -3 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-98613,12377069] |
[a1,a2,a3,a4,a6] |
Generators |
[3236:183219:1] |
Generators of the group modulo torsion |
j |
-1024000/43 |
j-invariant |
L |
6.996568700999 |
L(r)(E,1)/r! |
Ω |
0.43236923407461 |
Real period |
R |
8.0909650064869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118336p1 29584m1 2752f1 |
Quadratic twists by: -4 8 -43 |