Atkin-Lehner |
2+ 3+ 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
114552b |
Isogeny class |
Conductor |
114552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
501050448 = 24 · 39 · 37 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 -6 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14310,658881] |
[a1,a2,a3,a4,a6] |
Generators |
[265:3934:1] |
Generators of the group modulo torsion |
j |
1029037824000/1591 |
j-invariant |
L |
7.6643094593196 |
L(r)(E,1)/r! |
Ω |
1.4094150699983 |
Real period |
R |
5.4379363708517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999850599 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114552e1 |
Quadratic twists by: -3 |