Atkin-Lehner |
2- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
102850dr |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6082560 |
Modular degree for the optimal curve |
Δ |
5856184148194531250 = 2 · 58 · 1110 · 172 |
Discriminant |
Eigenvalues |
2- -2 5- 1 11- 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-22152138,-40131901358] |
[a1,a2,a3,a4,a6] |
Generators |
[-3158646624756:1463787568315:1164252608] |
Generators of the group modulo torsion |
j |
118654379305/578 |
j-invariant |
L |
7.5605308802012 |
L(r)(E,1)/r! |
Ω |
0.069589829020092 |
Real period |
R |
18.107365656405 |
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 |
102850j1 102850bo1 |
Quadratic twists by: 5 -11 |