Atkin-Lehner |
2- 3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
31218n |
Isogeny class |
Conductor |
31218 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-4639244544 = -1 · 28 · 34 · 112 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 11- -5 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9006,325227] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-69:1] [-35:791:1] |
Generators of the group modulo torsion |
j |
-667632060126889/38340864 |
j-invariant |
L |
9.4804506953192 |
L(r)(E,1)/r! |
Ω |
1.3004474945432 |
Real period |
R |
0.22781702873197 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93654s1 31218a1 |
Quadratic twists by: -3 -11 |