Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
65268m |
Isogeny class |
Conductor |
65268 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
1322173997265351888 = 24 · 318 · 78 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-755580,246667421] |
[a1,a2,a3,a4,a6] |
Generators |
[6573:237160:27] |
Generators of the group modulo torsion |
j |
34763966464000/963502533 |
j-invariant |
L |
7.2309945040197 |
L(r)(E,1)/r! |
Ω |
0.27035605556916 |
Real period |
R |
6.6865475684433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000138 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21756g1 9324g1 |
Quadratic twists by: -3 -7 |