Atkin-Lehner |
7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31339a |
Isogeny class |
Conductor |
31339 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-2054201156623 = -1 · 7 · 118 · 372 |
Discriminant |
Eigenvalues |
1 0 0 7+ 11- 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,643,-68832] |
[a1,a2,a3,a4,a6] |
j |
16581375/1159543 |
j-invariant |
L |
0.78833563409321 |
L(r)(E,1)/r! |
Ω |
0.39416781704676 |
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 |
2849b1 |
Quadratic twists by: -11 |