Atkin-Lehner |
2+ 3+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
119646i |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
-5048481634776 = -1 · 23 · 33 · 174 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 1 0 -3 0 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4281,-9099] |
[a1,a2,a3,a4,a6] |
Generators |
[15:234:1] |
Generators of the group modulo torsion |
j |
3847183317/2238728 |
j-invariant |
L |
5.0138678719504 |
L(r)(E,1)/r! |
Ω |
0.45376194859034 |
Real period |
R |
1.3811944370294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119646bp1 119646c1 |
Quadratic twists by: -3 17 |