Atkin-Lehner |
3+ 5+ 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
42735c |
Isogeny class |
Conductor |
42735 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
84501058362105 = 3 · 5 · 712 · 11 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35011,-2496976] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:249:1] [1934:13431:8] |
Generators of the group modulo torsion |
j |
4746112559346675889/84501058362105 |
j-invariant |
L |
4.812170946929 |
L(r)(E,1)/r! |
Ω |
0.34939574996898 |
Real period |
R |
4.5909458900173 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128205bg3 |
Quadratic twists by: -3 |