Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
54096l |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3838464 |
Modular degree for the optimal curve |
Δ |
-2.4854012394E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 1 0 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3312465,3338439021] |
[a1,a2,a3,a4,a6] |
Generators |
[24049100:678182687:15625] |
Generators of the group modulo torsion |
j |
-389094786976768/240588123669 |
j-invariant |
L |
2.9983028407207 |
L(r)(E,1)/r! |
Ω |
0.13394050124562 |
Real period |
R |
11.192666941104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27048h1 54096v1 |
Quadratic twists by: -4 -7 |