Atkin-Lehner |
3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
31605j |
Isogeny class |
Conductor |
31605 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
4979520 |
Modular degree for the optimal curve |
Δ |
8.2757812456034E+24 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 0 -4 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-170051625,-842177399344] |
[a1,a2,a3,a4,a6] |
j |
1925243534815734267904/29297367733636125 |
j-invariant |
L |
0.62769117839545 |
L(r)(E,1)/r! |
Ω |
0.041846078559715 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94815p1 31605n1 |
Quadratic twists by: -3 -7 |