Atkin-Lehner |
2+ 7- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
85358d |
Isogeny class |
Conductor |
85358 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
95709600 |
Modular degree for the optimal curve |
Δ |
-6.7343435068582E+27 |
Discriminant |
Eigenvalues |
2+ -1 -4 7- -4 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1123674052,15025552279760] |
[a1,a2,a3,a4,a6] |
j |
-555474810159065666134489/23840472858059866112 |
j-invariant |
L |
0.16703403917372 |
L(r)(E,1)/r! |
Ω |
0.041758492753086 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85358b1 |
Quadratic twists by: -7 |