Atkin-Lehner |
2- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110032s |
Isogeny class |
Conductor |
110032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-11331259087616 = -1 · 28 · 13 · 237 |
Discriminant |
Eigenvalues |
2- -3 -3 0 -5 13- 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8464,-340676] |
[a1,a2,a3,a4,a6] |
Generators |
[138:1058:1] [186:2126:1] |
Generators of the group modulo torsion |
j |
-1769472/299 |
j-invariant |
L |
5.4549610272947 |
L(r)(E,1)/r! |
Ω |
0.24659241170985 |
Real period |
R |
2.7651707667842 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003534 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27508c1 4784g1 |
Quadratic twists by: -4 -23 |