Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400hw |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2408448 |
Modular degree for the optimal curve |
Δ |
-8.0707214E+20 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 -1 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1051867,1301880637] |
[a1,a2,a3,a4,a6] |
Generators |
[103695996:8417828825:185193] |
Generators of the group modulo torsion |
j |
12459008/78125 |
j-invariant |
L |
5.1269420653423 |
L(r)(E,1)/r! |
Ω |
0.11520476376104 |
Real period |
R |
11.125716283679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001576 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400be1 19600k1 15680dm1 78400hj1 |
Quadratic twists by: -4 8 5 -7 |