Atkin-Lehner |
5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
42955k |
Isogeny class |
Conductor |
42955 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
741312 |
Modular degree for the optimal curve |
Δ |
-9207785733355 = -1 · 5 · 1110 · 71 |
Discriminant |
Eigenvalues |
-2 0 5- -3 11- -3 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2445047,-1471563250] |
[a1,a2,a3,a4,a6] |
Generators |
[196218490411057857080:-19209455033803900625406:19925653879482625] |
Generators of the group modulo torsion |
j |
-62324455919616/355 |
j-invariant |
L |
2.0707733028626 |
L(r)(E,1)/r! |
Ω |
0.060366744551726 |
Real period |
R |
34.303213105822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42955i1 |
Quadratic twists by: -11 |