Atkin-Lehner |
2- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110032m |
Isogeny class |
Conductor |
110032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
635904 |
Modular degree for the optimal curve |
Δ |
-66718453507883008 = -1 · 216 · 13 · 238 |
Discriminant |
Eigenvalues |
2- -2 0 0 1 13+ -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,101392,178900] |
[a1,a2,a3,a4,a6] |
Generators |
[5452:403286:1] |
Generators of the group modulo torsion |
j |
359375/208 |
j-invariant |
L |
3.3041308845988 |
L(r)(E,1)/r! |
Ω |
0.20812341040874 |
Real period |
R |
7.9379125496175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000066261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13754i1 110032n1 |
Quadratic twists by: -4 -23 |