Atkin-Lehner |
2- 3+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
55632n |
Isogeny class |
Conductor |
55632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24837120 |
Modular degree for the optimal curve |
Δ |
1.228445990415E+21 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 -4 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1805036480,-29516729512704] |
[a1,a2,a3,a4,a6] |
Generators |
[100997774384896914030545683:15000967985245026895257361802:1677858667977171839671] |
Generators of the group modulo torsion |
j |
158789475730451751965089053121/299913571878657732 |
j-invariant |
L |
3.7842429342045 |
L(r)(E,1)/r! |
Ω |
0.023162106748486 |
Real period |
R |
40.845193566555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6954o1 |
Quadratic twists by: -4 |