Atkin-Lehner |
2- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56350by |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
263424 |
Modular degree for the optimal curve |
Δ |
-74250636880000 = -1 · 27 · 54 · 79 · 23 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 0 5 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-56988,-5276419] |
[a1,a2,a3,a4,a6] |
j |
-811543975/2944 |
j-invariant |
L |
8.6500253578555 |
L(r)(E,1)/r! |
Ω |
0.15446473851228 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56350s1 56350bz1 |
Quadratic twists by: 5 -7 |