Atkin-Lehner |
2- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
3542k |
Isogeny class |
Conductor |
3542 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3811688036319086 = 2 · 75 · 118 · 232 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 11+ -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-94836604,355501196993] |
[a1,a2,a3,a4,a6] |
Generators |
[220436831133162:3242229696715675:34709780728] |
Generators of the group modulo torsion |
j |
94330402966367419784492146833/3811688036319086 |
j-invariant |
L |
5.1942195475078 |
L(r)(E,1)/r! |
Ω |
0.23745787250055 |
Real period |
R |
21.874278131148 |
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 |
28336bo4 113344s4 31878i4 88550o4 |
Quadratic twists by: -4 8 -3 5 |