Atkin-Lehner |
2- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
24304j |
Isogeny class |
Conductor |
24304 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-2438955008 = -1 · 215 · 74 · 31 |
Discriminant |
Eigenvalues |
2- -3 0 7+ -4 1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,245,-1862] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-112:1] |
Generators of the group modulo torsion |
j |
165375/248 |
j-invariant |
L |
2.2742269422801 |
L(r)(E,1)/r! |
Ω |
0.76748673878793 |
Real period |
R |
0.24693444495989 |
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 |
3038g1 97216bh1 24304r1 |
Quadratic twists by: -4 8 -7 |