Atkin-Lehner |
2+ 5+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
90640a |
Isogeny class |
Conductor |
90640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
205824 |
Modular degree for the optimal curve |
Δ |
-175479040000 = -1 · 211 · 54 · 113 · 103 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 11+ 7 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26576,1676576] |
[a1,a2,a3,a4,a6] |
Generators |
[76:300:1] |
Generators of the group modulo torsion |
j |
-1013628811874978/85683125 |
j-invariant |
L |
8.6491916143834 |
L(r)(E,1)/r! |
Ω |
0.96920074207808 |
Real period |
R |
1.1155056991464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003634 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45320e1 |
Quadratic twists by: -4 |