Atkin-Lehner |
2+ 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105966h |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
13040906489604 = 22 · 33 · 7 · 297 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8988,-275940] |
[a1,a2,a3,a4,a6] |
j |
5000211/812 |
j-invariant |
L |
0.99142662352928 |
L(r)(E,1)/r! |
Ω |
0.49571356022121 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105966bn1 3654q1 |
Quadratic twists by: -3 29 |