Atkin-Lehner |
2+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3542c |
Isogeny class |
Conductor |
3542 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
59530394 = 2 · 76 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 11+ -6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2692,53520] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:199:1] [14:129:1] |
Generators of the group modulo torsion |
j |
2156338561552057/59530394 |
j-invariant |
L |
2.346756982607 |
L(r)(E,1)/r! |
Ω |
1.8361122912884 |
Real period |
R |
0.85207460485602 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28336bf2 113344bu2 31878br2 88550bj2 |
Quadratic twists by: -4 8 -3 5 |