Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400ba |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
747225000000 = 26 · 36 · 58 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-249158,47786688] |
[a1,a2,a3,a4,a6] |
Generators |
[298:300:1] |
Generators of the group modulo torsion |
j |
1710605891820736/747225 |
j-invariant |
L |
9.0286867054198 |
L(r)(E,1)/r! |
Ω |
0.73295681631826 |
Real period |
R |
1.0265141728876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999982984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98400h1 19680p1 |
Quadratic twists by: -4 5 |