Atkin-Lehner |
2- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
14350m |
Isogeny class |
Conductor |
14350 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
8072162000000 = 27 · 56 · 74 · 412 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -2 -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18113,-929783] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:139:1] [-74:119:1] |
Generators of the group modulo torsion |
j |
42060685455433/516618368 |
j-invariant |
L |
6.9041986184498 |
L(r)(E,1)/r! |
Ω |
0.41183609682543 |
Real period |
R |
1.1974594941446 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114800bs2 129150t2 574c2 100450bw2 |
Quadratic twists by: -4 -3 5 -7 |