Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3850q |
Isogeny class |
Conductor |
3850 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
1632 |
Modular degree for the optimal curve |
Δ |
-1766195200 = -1 · 217 · 52 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,185,1727] |
[a1,a2,a3,a4,a6] |
Generators |
[35:206:1] |
Generators of the group modulo torsion |
j |
28151260695/70647808 |
j-invariant |
L |
5.1229988933702 |
L(r)(E,1)/r! |
Ω |
1.0408166004112 |
Real period |
R |
0.144767520023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30800bg1 123200bz1 34650bg1 3850g1 |
Quadratic twists by: -4 8 -3 5 |