Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688be |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-10259583296256 = -1 · 28 · 316 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -3 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3708,-126036] |
[a1,a2,a3,a4,a6] |
Generators |
[90:972:1] |
Generators of the group modulo torsion |
j |
449355140528/817887699 |
j-invariant |
L |
4.9642634335211 |
L(r)(E,1)/r! |
Ω |
0.37891265389104 |
Real period |
R |
0.40941686878004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22344l1 44688d1 |
Quadratic twists by: -4 -7 |