Atkin-Lehner |
2- 3+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
85260j |
Isogeny class |
Conductor |
85260 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
79035264 |
Modular degree for the optimal curve |
Δ |
-1.0750783577557E+29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-402749685,16079285124225] |
[a1,a2,a3,a4,a6] |
j |
-4895590192056939053056/72847698211669921875 |
j-invariant |
L |
2.0366035950935 |
L(r)(E,1)/r! |
Ω |
0.028286160586118 |
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 |
85260w1 |
Quadratic twists by: -7 |