Atkin-Lehner |
2+ 3- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
9480a |
Isogeny class |
Conductor |
9480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-1365120000 = -1 · 210 · 33 · 54 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -3 -1 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,104,-1696] |
[a1,a2,a3,a4,a6] |
Generators |
[44:300:1] |
Generators of the group modulo torsion |
j |
120320924/1333125 |
j-invariant |
L |
5.1713138166148 |
L(r)(E,1)/r! |
Ω |
0.74905679727517 |
Real period |
R |
0.57531394097065 |
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 |
18960a1 75840s1 28440o1 47400t1 |
Quadratic twists by: -4 8 -3 5 |