Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24304q |
Isogeny class |
Conductor |
24304 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
35580636599287808 = 217 · 710 · 312 |
Discriminant |
Eigenvalues |
2- -2 2 7- 2 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108992,10425652] |
[a1,a2,a3,a4,a6] |
Generators |
[-236:4802:1] |
Generators of the group modulo torsion |
j |
297141543217/73835552 |
j-invariant |
L |
4.370582080099 |
L(r)(E,1)/r! |
Ω |
0.34388414363512 |
Real period |
R |
1.5886826133864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3038k2 97216bu2 3472e2 |
Quadratic twists by: -4 8 -7 |