Atkin-Lehner |
2+ 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
94050bl |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-137832378780937500 = -1 · 22 · 312 · 57 · 112 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,116208,9275116] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:926:1] [-21:2623:1] |
Generators of the group modulo torsion |
j |
15236391945671/12100510620 |
j-invariant |
L |
7.9320034324668 |
L(r)(E,1)/r! |
Ω |
0.210845696652 |
Real period |
R |
0.78374884639503 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994773 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31350bh1 18810bj1 |
Quadratic twists by: -3 5 |