Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600bc |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-3861447200000000 = -1 · 211 · 58 · 136 |
Discriminant |
Eigenvalues |
2+ 3 5- 2 1 13+ 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21125,2746250] |
[a1,a2,a3,a4,a6] |
j |
270 |
j-invariant |
L |
7.5290396531791 |
L(r)(E,1)/r! |
Ω |
0.31370998559204 |
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 |
33800bd1 67600s1 400g1 |
Quadratic twists by: -4 5 13 |