Atkin-Lehner |
2+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650ba |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10002432 |
Modular degree for the optimal curve |
Δ |
-6.846060355722E+24 |
Discriminant |
Eigenvalues |
2+ -1 5- 1 11+ 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7241610,126106546900] |
[a1,a2,a3,a4,a6] |
Generators |
[2325225:212659210:343] |
Generators of the group modulo torsion |
j |
-142490208642391/23227183136768 |
j-invariant |
L |
3.6626940220666 |
L(r)(E,1)/r! |
Ω |
0.061172499728663 |
Real period |
R |
7.4843557945082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78650ct1 78650cv1 |
Quadratic twists by: 5 -11 |