Atkin-Lehner |
2+ 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650d |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
2328480000000000 = 214 · 33 · 510 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11- 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-523167,145761741] |
[a1,a2,a3,a4,a6] |
j |
37537160298467283/5519360000 |
j-invariant |
L |
1.7779531567008 |
L(r)(E,1)/r! |
Ω |
0.44448828917415 |
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 |
34650cm1 6930v1 |
Quadratic twists by: -3 5 |