Atkin-Lehner |
2- 3- 5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
63270ba |
Isogeny class |
Conductor |
63270 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1119744 |
Modular degree for the optimal curve |
Δ |
-110697192000000 = -1 · 29 · 39 · 56 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4788653,-4032173419] |
[a1,a2,a3,a4,a6] |
Generators |
[3015:92992:1] |
Generators of the group modulo torsion |
j |
-16658511866617100021641/151848000000 |
j-invariant |
L |
9.6931687947207 |
L(r)(E,1)/r! |
Ω |
0.051028902030447 |
Real period |
R |
2.6382567331614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21090d1 |
Quadratic twists by: -3 |