Atkin-Lehner |
3+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
94815g |
Isogeny class |
Conductor |
94815 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
833682183837890625 = 33 · 514 · 76 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -4 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3828257,2883655856] |
[a1,a2,a3,a4,a6] |
Generators |
[30882:-142:27] |
Generators of the group modulo torsion |
j |
1953326569433829507/262451171875 |
j-invariant |
L |
4.7987210860576 |
L(r)(E,1)/r! |
Ω |
0.27180142282283 |
Real period |
R |
1.2610890298914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999775501 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94815c1 1935a1 |
Quadratic twists by: -3 -7 |