Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24304o |
Isogeny class |
Conductor |
24304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-12443648 = -1 · 213 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 1 -4 7- -4 1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-240,1364] |
[a1,a2,a3,a4,a6] |
Generators |
[10:8:1] |
Generators of the group modulo torsion |
j |
-7649089/62 |
j-invariant |
L |
3.7007757206744 |
L(r)(E,1)/r! |
Ω |
2.262380457506 |
Real period |
R |
0.40894710131492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3038j1 97216bq1 24304i1 |
Quadratic twists by: -4 8 -7 |