Atkin-Lehner |
2- 5+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89900d |
Isogeny class |
Conductor |
89900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
116640 |
Modular degree for the optimal curve |
Δ |
-6263557750000 = -1 · 24 · 56 · 292 · 313 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 0 4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1558,123237] |
[a1,a2,a3,a4,a6] |
Generators |
[1821:15283:27] |
Generators of the group modulo torsion |
j |
-1674035968/25054231 |
j-invariant |
L |
10.894283334941 |
L(r)(E,1)/r! |
Ω |
0.63739614060239 |
Real period |
R |
2.8486427396587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3596a1 |
Quadratic twists by: 5 |