Atkin-Lehner |
2+ 3+ 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850k |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-89118063000000 = -1 · 26 · 38 · 56 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -6 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1675,454125] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-694:1] |
Generators of the group modulo torsion |
j |
33230963375/5703556032 |
j-invariant |
L |
2.2369603073264 |
L(r)(E,1)/r! |
Ω |
0.46586462120578 |
Real period |
R |
1.2004347712841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997644137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4794g1 |
Quadratic twists by: 5 |