Atkin-Lehner |
2+ 3- 5+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
85410f |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
317030400 |
Modular degree for the optimal curve |
Δ |
7.7171711110926E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 2 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-327892611015,-72267838603251575] |
[a1,a2,a3,a4,a6] |
j |
5347996002533239166891937825484867441/1058596860232185359962500 |
j-invariant |
L |
1.8548721624155 |
L(r)(E,1)/r! |
Ω |
0.0063090889024968 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28470n1 |
Quadratic twists by: -3 |