Atkin-Lehner |
2- 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
35550bc |
Isogeny class |
Conductor |
35550 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-133312500000 = -1 · 25 · 33 · 59 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 -1 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1270,1897] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-265:1] |
Generators of the group modulo torsion |
j |
537367797/316000 |
j-invariant |
L |
8.9495659351865 |
L(r)(E,1)/r! |
Ω |
0.63078855916506 |
Real period |
R |
0.35469753712054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35550b1 7110c1 |
Quadratic twists by: -3 5 |