Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400hg |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-1446273274880000000 = -1 · 216 · 57 · 710 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 2 0 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80033,-58539937] |
[a1,a2,a3,a4,a6] |
Generators |
[116995:3277168:125] |
Generators of the group modulo torsion |
j |
-196/5 |
j-invariant |
L |
8.0129612322185 |
L(r)(E,1)/r! |
Ω |
0.11670956441075 |
Real period |
R |
8.582159989606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993712 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400bn1 19600p1 15680ci1 78400gc1 |
Quadratic twists by: -4 8 5 -7 |