Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24304m |
Isogeny class |
Conductor |
24304 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7920 |
Modular degree for the optimal curve |
Δ |
-58353904 = -1 · 24 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 0 -1 7- -6 4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-833,-9261] |
[a1,a2,a3,a4,a6] |
Generators |
[50710:159193:1331] |
Generators of the group modulo torsion |
j |
-33958656/31 |
j-invariant |
L |
3.9094023802608 |
L(r)(E,1)/r! |
Ω |
0.44430841126422 |
Real period |
R |
8.798848460098 |
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 |
6076b1 97216bk1 496e1 |
Quadratic twists by: -4 8 -7 |