Atkin-Lehner |
2- 3+ 23- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
113712m |
Isogeny class |
Conductor |
113712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-32909046054912 = -1 · 226 · 32 · 232 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 6 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15392,790272] |
[a1,a2,a3,a4,a6] |
Generators |
[98:462:1] |
Generators of the group modulo torsion |
j |
-98463924947233/8034435072 |
j-invariant |
L |
8.6661502396022 |
L(r)(E,1)/r! |
Ω |
0.64311343469068 |
Real period |
R |
3.3688264585738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024234 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14214f1 |
Quadratic twists by: -4 |