Atkin-Lehner |
2+ 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
26712b |
Isogeny class |
Conductor |
26712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-754061224863744 = -1 · 211 · 310 · 76 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 5 0 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84243,9503566] |
[a1,a2,a3,a4,a6] |
j |
-44286127310882/505067157 |
j-invariant |
L |
2.0305871737576 |
L(r)(E,1)/r! |
Ω |
0.50764679343946 |
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 |
53424j1 8904g1 |
Quadratic twists by: -4 -3 |