Atkin-Lehner |
2+ 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24990p |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-3780773021725560 = -1 · 23 · 39 · 5 · 710 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,29963,-2170811] |
[a1,a2,a3,a4,a6] |
j |
10531168151/13384440 |
j-invariant |
L |
2.1272385308443 |
L(r)(E,1)/r! |
Ω |
0.23635983676047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74970cr1 124950hu1 24990r1 |
Quadratic twists by: -3 5 -7 |