Atkin-Lehner |
2+ 3- 5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
63630q |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
25536 |
Modular degree for the optimal curve |
Δ |
-128850750 = -1 · 2 · 36 · 53 · 7 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -4 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,30,-550] |
[a1,a2,a3,a4,a6] |
j |
4019679/176750 |
j-invariant |
L |
0.88850638291563 |
L(r)(E,1)/r! |
Ω |
0.8885063878571 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7070i1 |
Quadratic twists by: -3 |