Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
19950m |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-7859980800 = -1 · 29 · 35 · 52 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 5 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,175,4245] |
[a1,a2,a3,a4,a6] |
Generators |
[1:66:1] |
Generators of the group modulo torsion |
j |
23497109375/314399232 |
j-invariant |
L |
3.471589698683 |
L(r)(E,1)/r! |
Ω |
0.97359564858704 |
Real period |
R |
1.7828703855246 |
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 |
59850fo1 19950df1 |
Quadratic twists by: -3 5 |