Atkin-Lehner |
7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
40733a |
Isogeny class |
Conductor |
40733 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
83160 |
Modular degree for the optimal curve |
Δ |
-79791344171 = -1 · 72 · 11 · 236 |
Discriminant |
Eigenvalues |
0 1 -3 7+ 11- -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-47257,-3969915] |
[a1,a2,a3,a4,a6] |
Generators |
[147255:4963249:125] |
Generators of the group modulo torsion |
j |
-78843215872/539 |
j-invariant |
L |
3.0499160988422 |
L(r)(E,1)/r! |
Ω |
0.16190194942961 |
Real period |
R |
9.4190221599767 |
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 |
77b3 |
Quadratic twists by: -23 |