Atkin-Lehner |
2+ 5+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
33550b |
Isogeny class |
Conductor |
33550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
21472000000 = 211 · 56 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 11- -1 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-701,1048] |
[a1,a2,a3,a4,a6] |
j |
2433138625/1374208 |
j-invariant |
L |
2.0841803621414 |
L(r)(E,1)/r! |
Ω |
1.0420901810727 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1342b1 |
Quadratic twists by: 5 |