Atkin-Lehner |
2+ 3+ 7+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118818a |
Isogeny class |
Conductor |
118818 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768768 |
Modular degree for the optimal curve |
Δ |
-244573415159472 = -1 · 24 · 39 · 77 · 23 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ -4 5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4305,743453] |
[a1,a2,a3,a4,a6] |
Generators |
[754:20413:1] |
Generators of the group modulo torsion |
j |
448224034077/12425616784 |
j-invariant |
L |
7.2873395106277 |
L(r)(E,1)/r! |
Ω |
0.41758296840481 |
Real period |
R |
4.3628092896914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000131096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118818z1 |
Quadratic twists by: -3 |