Atkin-Lehner |
7+ 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
38269a |
Isogeny class |
Conductor |
38269 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
2495865911 = 74 · 114 · 71 |
Discriminant |
Eigenvalues |
1 2 3 7+ 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-711,6602] |
[a1,a2,a3,a4,a6] |
Generators |
[246:724:27] |
Generators of the group modulo torsion |
j |
16591834777/1039511 |
j-invariant |
L |
12.177242066369 |
L(r)(E,1)/r! |
Ω |
1.422230641456 |
Real period |
R |
1.4270121070639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38269b1 |
Quadratic twists by: -7 |