Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3850s |
Isogeny class |
Conductor |
3850 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-792660137500000000 = -1 · 28 · 511 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-302230,-76896603] |
[a1,a2,a3,a4,a6] |
Generators |
[1335:42893:1] |
Generators of the group modulo torsion |
j |
-195395722614328041/50730248800000 |
j-invariant |
L |
5.081988529 |
L(r)(E,1)/r! |
Ω |
0.10044267240387 |
Real period |
R |
3.1622444471147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30800bk1 123200cd1 34650bl1 770c1 |
Quadratic twists by: -4 8 -3 5 |