Atkin-Lehner |
2+ 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
7238d |
Isogeny class |
Conductor |
7238 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-247633636096 = -1 · 28 · 7 · 113 · 473 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- 11- 2 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,115,-23928] |
[a1,a2,a3,a4,a6] |
j |
170307838007/247633636096 |
j-invariant |
L |
0.9176592485561 |
L(r)(E,1)/r! |
Ω |
0.45882962427805 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
57904i1 65142y1 50666h1 79618x1 |
Quadratic twists by: -4 -3 -7 -11 |