Atkin-Lehner |
2+ 7- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
100688g |
Isogeny class |
Conductor |
100688 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1408512 |
Modular degree for the optimal curve |
Δ |
-2.8547676449625E+19 |
Discriminant |
Eigenvalues |
2+ 1 0 7- -2 4 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,629047,-170689405] |
[a1,a2,a3,a4,a6] |
j |
107530667791013504000/111514361131347923 |
j-invariant |
L |
2.0506874321146 |
L(r)(E,1)/r! |
Ω |
0.11392709264591 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50344g1 |
Quadratic twists by: -4 |