Atkin-Lehner |
2+ 3+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
3102b |
Isogeny class |
Conductor |
3102 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-324295488 = -1 · 26 · 34 · 113 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -3 11- -1 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-227,1485] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:21:1] [-13:56:1] |
Generators of the group modulo torsion |
j |
-1302528459961/324295488 |
j-invariant |
L |
2.2990450372889 |
L(r)(E,1)/r! |
Ω |
1.6336317825018 |
Real period |
R |
0.11727678690679 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24816t1 99264r1 9306k1 77550ca1 |
Quadratic twists by: -4 8 -3 5 |