Atkin-Lehner |
2+ 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
3102d |
Isogeny class |
Conductor |
3102 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
-13568148 = -1 · 22 · 38 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 11+ 1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,59,20] |
[a1,a2,a3,a4,a6] |
Generators |
[1:8:1] |
Generators of the group modulo torsion |
j |
23271176375/13568148 |
j-invariant |
L |
2.7854129775801 |
L(r)(E,1)/r! |
Ω |
1.3497826212638 |
Real period |
R |
0.1289750722496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24816m1 99264l1 9306m1 77550be1 |
Quadratic twists by: -4 8 -3 5 |