Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
10200ba |
Isogeny class |
Conductor |
10200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-449452800 = -1 · 28 · 35 · 52 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 2 -5 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,47,997] |
[a1,a2,a3,a4,a6] |
Generators |
[3:34:1] |
Generators of the group modulo torsion |
j |
1756160/70227 |
j-invariant |
L |
3.4913374060489 |
L(r)(E,1)/r! |
Ω |
1.263336065781 |
Real period |
R |
0.69089640924062 |
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 |
20400bc1 81600dq1 30600o1 10200u1 |
Quadratic twists by: -4 8 -3 5 |