Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2352i |
Isogeny class |
Conductor |
2352 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
68307950592 = 210 · 34 · 77 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7464,245412] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:294:1] |
Generators of the group modulo torsion |
j |
381775972/567 |
j-invariant |
L |
3.347477296533 |
L(r)(E,1)/r! |
Ω |
1.097051234094 |
Real period |
R |
1.525670448426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1176c3 9408ca3 7056v3 58800r4 |
Quadratic twists by: -4 8 -3 5 |