Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350w |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-7712820000 = -1 · 25 · 36 · 54 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 1 -2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,300,-3600] |
[a1,a2,a3,a4,a6] |
Generators |
[15:60:1] |
Generators of the group modulo torsion |
j |
8984375/23328 |
j-invariant |
L |
2.6038782570885 |
L(r)(E,1)/r! |
Ω |
0.67878252795353 |
Real period |
R |
0.63935014807963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943267 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79350dj1 79350v1 |
Quadratic twists by: 5 -23 |