Atkin-Lehner |
2+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68800h |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-591680000000000 = -1 · 215 · 510 · 432 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 1 2 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120833,-16249537] |
[a1,a2,a3,a4,a6] |
Generators |
[910761169:71123129524:148877] |
Generators of the group modulo torsion |
j |
-609725000/1849 |
j-invariant |
L |
7.2290329813406 |
L(r)(E,1)/r! |
Ω |
0.12801003047022 |
Real period |
R |
14.11809870493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800be1 34400g1 68800cg1 |
Quadratic twists by: -4 8 5 |