Atkin-Lehner |
3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
67155z |
Isogeny class |
Conductor |
67155 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-135988875 = -1 · 35 · 53 · 112 · 37 |
Discriminant |
Eigenvalues |
-2 3- 5- 0 11- 5 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-40,556] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-23:1] |
Generators of the group modulo torsion |
j |
-59969536/1123875 |
j-invariant |
L |
4.7224068810227 |
L(r)(E,1)/r! |
Ω |
1.5529296550577 |
Real period |
R |
0.20273109238034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67155y1 |
Quadratic twists by: -11 |