Atkin-Lehner |
7- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
40033b |
Isogeny class |
Conductor |
40033 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
334080 |
Modular degree for the optimal curve |
Δ |
-6243638068093027 = -1 · 76 · 192 · 435 |
Discriminant |
Eigenvalues |
0 2 2 7- 3 -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-815817,-283373966] |
[a1,a2,a3,a4,a6] |
Generators |
[30252:389287:27] |
Generators of the group modulo torsion |
j |
-510404220761669632/53070047923 |
j-invariant |
L |
8.1324933176213 |
L(r)(E,1)/r! |
Ω |
0.07942708383432 |
Real period |
R |
5.1194711709341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
817b1 |
Quadratic twists by: -7 |