Atkin-Lehner |
2- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
62300h |
Isogeny class |
Conductor |
62300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-17444000000 = -1 · 28 · 56 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -6 4 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2308,42388] |
[a1,a2,a3,a4,a6] |
Generators |
[27:22:1] |
Generators of the group modulo torsion |
j |
-340062928/4361 |
j-invariant |
L |
7.3885369812039 |
L(r)(E,1)/r! |
Ω |
1.234889417174 |
Real period |
R |
2.9915783867672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2492a1 |
Quadratic twists by: 5 |