Atkin-Lehner |
2+ 3- 7- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426s |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-45347952384 = -1 · 28 · 38 · 72 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,594,-8748] |
[a1,a2,a3,a4,a6] |
Generators |
[21:102:1] |
Generators of the group modulo torsion |
j |
31764658463/62205696 |
j-invariant |
L |
6.0901514714811 |
L(r)(E,1)/r! |
Ω |
0.59315863886653 |
Real period |
R |
2.5668308071991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000469 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142bd1 |
Quadratic twists by: -3 |