Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400lm |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-42875000000 = -1 · 26 · 59 · 73 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 3 -3 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-274750,55431250] |
[a1,a2,a3,a4,a6] |
Generators |
[-475:8875:1] [301:49:1] |
Generators of the group modulo torsion |
j |
-53497400832 |
j-invariant |
L |
6.6437537709327 |
L(r)(E,1)/r! |
Ω |
0.81984769860303 |
Real period |
R |
2.0259109656026 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400lg1 39200da1 78400lf1 78400le1 |
Quadratic twists by: -4 8 5 -7 |