Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688k |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-1859223147264 = -1 · 28 · 32 · 76 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 5 2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2679,37269] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:57:1] |
Generators of the group modulo torsion |
j |
70575104/61731 |
j-invariant |
L |
4.9788684372717 |
L(r)(E,1)/r! |
Ω |
0.54251402062521 |
Real period |
R |
1.5295667478932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999735 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22344bd1 912c1 |
Quadratic twists by: -4 -7 |