Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
127400ca |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
135360 |
Modular degree for the optimal curve |
Δ |
-254800000000 = -1 · 210 · 58 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 13+ -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-875,-26250] |
[a1,a2,a3,a4,a6] |
j |
-3780/13 |
j-invariant |
L |
0.80656055750477 |
L(r)(E,1)/r! |
Ω |
0.40328017586759 |
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 |
127400i1 127400by1 |
Quadratic twists by: 5 -7 |