Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450h |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2983680 |
Modular degree for the optimal curve |
Δ |
-3.0053652327612E+20 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 2 -6 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-976126,-913029852] |
[a1,a2,a3,a4,a6] |
Generators |
[326014694:37419844904:24389] |
Generators of the group modulo torsion |
j |
-1369/4 |
j-invariant |
L |
2.2890701153237 |
L(r)(E,1)/r! |
Ω |
0.070279720836756 |
Real period |
R |
16.285424077155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983505 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2738c1 68450ba1 |
Quadratic twists by: 5 37 |