Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990bh |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
10321920 |
Modular degree for the optimal curve |
Δ |
-1.3661165093005E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,23043057,-560727972542] |
[a1,a2,a3,a4,a6] |
j |
11501534367688741509671/1161179873437500000000 |
j-invariant |
L |
0.77450980060484 |
L(r)(E,1)/r! |
Ω |
0.027661064307318 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970db1 124950ga1 3570b1 |
Quadratic twists by: -3 5 -7 |