Atkin-Lehner |
2- 3+ 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
98490bb |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-1737363600 = -1 · 24 · 33 · 52 · 74 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,244,1469] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:35:1] |
Generators of the group modulo torsion |
j |
668944031/723600 |
j-invariant |
L |
7.674895906995 |
L(r)(E,1)/r! |
Ω |
0.98923127393898 |
Real period |
R |
0.32326851874103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026254 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98490by1 |
Quadratic twists by: -7 |