Atkin-Lehner |
2- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
102850dt |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
437112500000 = 25 · 58 · 112 · 172 |
Discriminant |
Eigenvalues |
2- -2 5- -3 11- -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6388,193392] |
[a1,a2,a3,a4,a6] |
Generators |
[2:424:1] |
Generators of the group modulo torsion |
j |
609926185/9248 |
j-invariant |
L |
4.6035969681189 |
L(r)(E,1)/r! |
Ω |
0.9430273500001 |
Real period |
R |
0.16272405415558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999152196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102850k1 102850bq1 |
Quadratic twists by: 5 -11 |