Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
74592r |
Isogeny class |
Conductor |
74592 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
551936 |
Modular degree for the optimal curve |
Δ |
-24873349742793216 = -1 · 29 · 313 · 77 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -4 2 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48459,-8627614] |
[a1,a2,a3,a4,a6] |
Generators |
[334:3528:1] |
Generators of the group modulo torsion |
j |
-33717049708616/66640276017 |
j-invariant |
L |
4.8892728842432 |
L(r)(E,1)/r! |
Ω |
0.15124207176313 |
Real period |
R |
2.309104691667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988618 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74592bi1 24864s1 |
Quadratic twists by: -4 -3 |