Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450b |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
262656 |
Modular degree for the optimal curve |
Δ |
-175623972696050 = -1 · 2 · 52 · 378 |
Discriminant |
Eigenvalues |
2+ 1 5+ -4 3 6 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4136,-646112] |
[a1,a2,a3,a4,a6] |
Generators |
[9763098:2070774239:216] |
Generators of the group modulo torsion |
j |
-121945/2738 |
j-invariant |
L |
5.2775410769864 |
L(r)(E,1)/r! |
Ω |
0.2467823539374 |
Real period |
R |
10.692703494951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000206 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68450bm1 1850k1 |
Quadratic twists by: 5 37 |