Atkin-Lehner |
3+ 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
57477h |
Isogeny class |
Conductor |
57477 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-65179993452147 = -1 · 35 · 79 · 172 · 23 |
Discriminant |
Eigenvalues |
0 3+ 2 7- -1 -2 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-402747,-98244322] |
[a1,a2,a3,a4,a6] |
j |
-61409207493885952/554020803 |
j-invariant |
L |
0.37902787207047 |
L(r)(E,1)/r! |
Ω |
0.094756967927699 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8211e1 |
Quadratic twists by: -7 |