Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
94050ed |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
389120 |
Modular degree for the optimal curve |
Δ |
-117841710937500 = -1 · 22 · 38 · 59 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24305,1555197] |
[a1,a2,a3,a4,a6] |
Generators |
[35:846:1] |
Generators of the group modulo torsion |
j |
-1115157653/82764 |
j-invariant |
L |
13.420452069588 |
L(r)(E,1)/r! |
Ω |
0.57938170129494 |
Real period |
R |
2.8954254227556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007688 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31350k1 94050cd1 |
Quadratic twists by: -3 5 |