Atkin-Lehner |
3- 7- 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
31857f |
Isogeny class |
Conductor |
31857 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
-31825143 = -1 · 34 · 7 · 372 · 41 |
Discriminant |
Eigenvalues |
-1 3- -4 7- 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-105,-504] |
[a1,a2,a3,a4,a6] |
j |
-128100283921/31825143 |
j-invariant |
L |
1.4720959615204 |
L(r)(E,1)/r! |
Ω |
0.73604798076245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95571i1 |
Quadratic twists by: -3 |