Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3450h |
Isogeny class |
Conductor |
3450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-5175000000 = -1 · 26 · 32 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,99,3448] |
[a1,a2,a3,a4,a6] |
j |
6967871/331200 |
j-invariant |
L |
2.0668716989538 |
L(r)(E,1)/r! |
Ω |
1.0334358494769 |
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 |
27600bs1 110400i1 10350bp1 690h1 |
Quadratic twists by: -4 8 -3 5 |