Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400bj |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-439040000000 = -1 · 214 · 57 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 5 7 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12133,511363] |
[a1,a2,a3,a4,a6] |
j |
-2249728/5 |
j-invariant |
L |
3.7695443859666 |
L(r)(E,1)/r! |
Ω |
0.94238610974755 |
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 |
78400ia1 9800h1 15680bs1 78400bw1 |
Quadratic twists by: -4 8 5 -7 |