Atkin-Lehner |
2- 5+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56950o |
Isogeny class |
Conductor |
56950 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
69696 |
Modular degree for the optimal curve |
Δ |
-182240000000 = -1 · 211 · 57 · 17 · 67 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 -6 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1412,2781] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-103:1] |
Generators of the group modulo torsion |
j |
19924551431/11663360 |
j-invariant |
L |
5.0733432990544 |
L(r)(E,1)/r! |
Ω |
0.61297484623449 |
Real period |
R |
0.18810438552717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000186 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11390b1 |
Quadratic twists by: 5 |