Atkin-Lehner |
2- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
51520cd |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-282741760 = -1 · 210 · 5 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,88,-744] |
[a1,a2,a3,a4,a6] |
j |
73598976/276115 |
j-invariant |
L |
1.7628318444051 |
L(r)(E,1)/r! |
Ω |
0.88141592260998 |
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 |
51520w1 12880b1 |
Quadratic twists by: -4 8 |