Atkin-Lehner |
2+ 5+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
119350q |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28416 |
Modular degree for the optimal curve |
Δ |
-2625700 = -1 · 22 · 52 · 7 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11- 3 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4,78] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-13:1] |
Generators of the group modulo torsion |
j |
397535/105028 |
j-invariant |
L |
3.8927442213496 |
L(r)(E,1)/r! |
Ω |
1.9840531358002 |
Real period |
R |
0.49050402602787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119350bz1 |
Quadratic twists by: 5 |