Atkin-Lehner |
2- 3+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31218k |
Isogeny class |
Conductor |
31218 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-1216701008556 = -1 · 22 · 3 · 119 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 11- 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3330,-92421] |
[a1,a2,a3,a4,a6] |
Generators |
[8505:1009:125] |
Generators of the group modulo torsion |
j |
-2305199161/686796 |
j-invariant |
L |
8.206957706164 |
L(r)(E,1)/r! |
Ω |
0.30948943385108 |
Real period |
R |
3.3147164363747 |
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 |
93654m1 2838a1 |
Quadratic twists by: -3 -11 |