Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19950bu |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-2491804368457031250 = -1 · 2 · 312 · 511 · 7 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-264963,92214531] |
[a1,a2,a3,a4,a6] |
Generators |
[15950:684571:8] |
Generators of the group modulo torsion |
j |
-131661708271504489/159475479581250 |
j-invariant |
L |
6.178005877588 |
L(r)(E,1)/r! |
Ω |
0.23287426801887 |
Real period |
R |
2.2107802099054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59850bo1 3990o1 |
Quadratic twists by: -3 5 |