Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31460g |
Isogeny class |
Conductor |
31460 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
76133200 = 24 · 52 · 114 · 13 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 11- 13- -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,-614] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:5:1] [-7:11:1] |
Generators of the group modulo torsion |
j |
1982464/325 |
j-invariant |
L |
6.3692076419989 |
L(r)(E,1)/r! |
Ω |
1.3544685605206 |
Real period |
R |
0.26124258570015 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125840bs1 31460b1 |
Quadratic twists by: -4 -11 |