Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
19950bm |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-2025929240606250000 = -1 · 24 · 39 · 58 · 74 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1632576,805672798] |
[a1,a2,a3,a4,a6] |
Generators |
[-823:40311:1] |
Generators of the group modulo torsion |
j |
-1231922871794037145/5186378855952 |
j-invariant |
L |
4.4495705044126 |
L(r)(E,1)/r! |
Ω |
0.26311997260924 |
Real period |
R |
0.23487228934477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
59850gp1 19950bv1 |
Quadratic twists by: -3 5 |