Atkin-Lehner |
2+ 3+ 5- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850r |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1126400 |
Modular degree for the optimal curve |
Δ |
-104775889500000000 = -1 · 28 · 38 · 59 · 19 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -4 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,29175,-15442875] |
[a1,a2,a3,a4,a6] |
Generators |
[6335:501270:1] |
Generators of the group modulo torsion |
j |
1406057262427/53645255424 |
j-invariant |
L |
4.1003238372089 |
L(r)(E,1)/r! |
Ω |
0.1610944881514 |
Real period |
R |
6.3632280388888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999549965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116850cq1 |
Quadratic twists by: 5 |