Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400cw |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-21952000000 = -1 · 212 · 56 · 73 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 4 6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-233,-7337] |
[a1,a2,a3,a4,a6] |
j |
-64 |
j-invariant |
L |
2.0712597535559 |
L(r)(E,1)/r! |
Ω |
0.51781492239231 |
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 |
78400co1 39200o1 3136i1 78400cm1 |
Quadratic twists by: -4 8 5 -7 |