Atkin-Lehner |
3+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
30975q |
Isogeny class |
Conductor |
30975 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
81792 |
Modular degree for the optimal curve |
Δ |
2602984125 = 3 · 53 · 76 · 59 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- 5 3 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-12398,-527227] |
[a1,a2,a3,a4,a6] |
j |
1686178797645824/20823873 |
j-invariant |
L |
5.4292556935079 |
L(r)(E,1)/r! |
Ω |
0.45243797445882 |
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 |
92925bo1 30975w1 |
Quadratic twists by: -3 5 |