Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350bg |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
-1176401538928000 = -1 · 27 · 53 · 73 · 118 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- 0 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12062,1730196] |
[a1,a2,a3,a4,a6] |
Generators |
[-151:378:1] |
Generators of the group modulo torsion |
j |
-7243533/43904 |
j-invariant |
L |
3.7334452400472 |
L(r)(E,1)/r! |
Ω |
0.42044306194989 |
Real period |
R |
1.479964660269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42350cx1 42350cw1 |
Quadratic twists by: 5 -11 |