Atkin-Lehner |
2+ 7- 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
119462d |
Isogeny class |
Conductor |
119462 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
14054584838 = 2 · 78 · 23 · 53 |
Discriminant |
Eigenvalues |
2+ 2 4 7- -4 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-637123,-196007265] |
[a1,a2,a3,a4,a6] |
Generators |
[41056935:-4539136538:3375] |
Generators of the group modulo torsion |
j |
243111994897723561/119462 |
j-invariant |
L |
10.044117767481 |
L(r)(E,1)/r! |
Ω |
0.16898324478952 |
Real period |
R |
14.859635683391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999804077 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17066a2 |
Quadratic twists by: -7 |