Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67626h |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
-29280222900864 = -1 · 27 · 36 · 13 · 176 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 -2 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6990,-342316] |
[a1,a2,a3,a4,a6] |
j |
-2146689/1664 |
j-invariant |
L |
0.25261854431967 |
L(r)(E,1)/r! |
Ω |
0.25261853583397 |
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 |
7514i1 234a1 |
Quadratic twists by: -3 17 |