Atkin-Lehner |
2+ 3- 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
15438h |
Isogeny class |
Conductor |
15438 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-640244736 = -1 · 210 · 35 · 31 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 4 -3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-90,-1268] |
[a1,a2,a3,a4,a6] |
Generators |
[29:129:1] |
Generators of the group modulo torsion |
j |
-79340706073/640244736 |
j-invariant |
L |
3.7770752108075 |
L(r)(E,1)/r! |
Ω |
0.68341760033962 |
Real period |
R |
0.55267455929295 |
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 |
123504ba1 46314z1 |
Quadratic twists by: -4 -3 |