Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7650bp |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-249696000 = -1 · 28 · 33 · 53 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10,-763] |
[a1,a2,a3,a4,a6] |
Generators |
[15:43:1] |
Generators of the group modulo torsion |
j |
35937/73984 |
j-invariant |
L |
6.244062470142 |
L(r)(E,1)/r! |
Ω |
0.81410859759098 |
Real period |
R |
0.47936344799536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61200dx1 7650h1 7650i1 |
Quadratic twists by: -4 -3 5 |