Atkin-Lehner |
2+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40432a |
Isogeny class |
Conductor |
40432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
98496 |
Modular degree for the optimal curve |
Δ |
-243476359755776 = -1 · 211 · 7 · 198 |
Discriminant |
Eigenvalues |
2+ 0 -3 7+ -2 -1 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6859,-781926] |
[a1,a2,a3,a4,a6] |
Generators |
[346:6186:1] |
Generators of the group modulo torsion |
j |
-1026/7 |
j-invariant |
L |
2.8055356645191 |
L(r)(E,1)/r! |
Ω |
0.23308103381057 |
Real period |
R |
6.0183697031232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20216i1 40432d1 |
Quadratic twists by: -4 -19 |