Atkin-Lehner |
3- 5- 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
94185x |
Isogeny class |
Conductor |
94185 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-4983053337158203125 = -1 · 37 · 512 · 74 · 132 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,416173,29155704] |
[a1,a2,a3,a4,a6] |
Generators |
[87:8081:1] |
Generators of the group modulo torsion |
j |
10935001967223042071/6835464111328125 |
j-invariant |
L |
3.6428716287025 |
L(r)(E,1)/r! |
Ω |
0.15051823928724 |
Real period |
R |
1.0084247511883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907816 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31395b3 |
Quadratic twists by: -3 |