Atkin-Lehner |
2- 3+ 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
49770bh |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
936 |
Product of Tamagawa factors cp |
deg |
928512 |
Modular degree for the optimal curve |
Δ |
-81941328000000000 = -1 · 213 · 33 · 59 · 74 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 3 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1132217,464193241] |
[a1,a2,a3,a4,a6] |
Generators |
[631:524:1] |
Generators of the group modulo torsion |
j |
-5944955425395373552563/3034864000000000 |
j-invariant |
L |
10.033245971378 |
L(r)(E,1)/r! |
Ω |
0.33747408706109 |
Real period |
R |
0.031763268040174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49770d1 |
Quadratic twists by: -3 |