Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400jp |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
4722524979200000000 = 221 · 58 · 78 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 0 -2 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-628833,-161165537] |
[a1,a2,a3,a4,a6] |
Generators |
[-8751975:61791344:15625] |
Generators of the group modulo torsion |
j |
46585/8 |
j-invariant |
L |
4.2000290960832 |
L(r)(E,1)/r! |
Ω |
0.17152448155091 |
Real period |
R |
12.243235073819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976143 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400dv1 19600di1 78400gh1 78400kq1 |
Quadratic twists by: -4 8 5 -7 |