Atkin-Lehner |
2- 3+ 29+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
98832f |
Isogeny class |
Conductor |
98832 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-683126784 = -1 · 212 · 34 · 29 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 0 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21,-1251] |
[a1,a2,a3,a4,a6] |
Generators |
[12:9:1] [20:77:1] |
Generators of the group modulo torsion |
j |
-262144/166779 |
j-invariant |
L |
8.5944323752617 |
L(r)(E,1)/r! |
Ω |
0.72535062639834 |
Real period |
R |
5.9243296013504 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000701 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6177b1 |
Quadratic twists by: -4 |