Atkin-Lehner |
2+ 3+ 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850n |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-22531800 = -1 · 23 · 3 · 52 · 17 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,60,-120] |
[a1,a2,a3,a4,a6] |
Generators |
[29:150:1] |
Generators of the group modulo torsion |
j |
930847055/901272 |
j-invariant |
L |
3.7131855240011 |
L(r)(E,1)/r! |
Ω |
1.1683606590981 |
Real period |
R |
1.5890579368065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999911711 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119850cq1 |
Quadratic twists by: 5 |