Atkin-Lehner |
2+ 3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
37446h |
Isogeny class |
Conductor |
37446 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
78624 |
Modular degree for the optimal curve |
Δ |
4835782543698 = 2 · 318 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 -2 2 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10440,-397556] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1020:1] |
Generators of the group modulo torsion |
j |
20160960812953/774840978 |
j-invariant |
L |
5.2975460511958 |
L(r)(E,1)/r! |
Ω |
0.47343043782258 |
Real period |
R |
0.62165017380159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112338v1 37446a1 |
Quadratic twists by: -3 -79 |