Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400bo |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
784000000 = 210 · 56 · 72 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 3 -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-233,337] |
[a1,a2,a3,a4,a6] |
j |
1792 |
j-invariant |
L |
1.3790434812525 |
L(r)(E,1)/r! |
Ω |
1.3790435241515 |
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 |
78400hl1 4900g1 3136f1 78400c1 |
Quadratic twists by: -4 8 5 -7 |