Atkin-Lehner |
2- 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
102410bu |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-2458864100000 = -1 · 25 · 55 · 76 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11- 1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23766,-1414204] |
[a1,a2,a3,a4,a6] |
Generators |
[8390:264423:8] |
Generators of the group modulo torsion |
j |
-12618417497041/20900000 |
j-invariant |
L |
12.451758752726 |
L(r)(E,1)/r! |
Ω |
0.19223715311103 |
Real period |
R |
6.4772904287584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2090n1 |
Quadratic twists by: -7 |