Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
630a |
Isogeny class |
Conductor |
630 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
185220 = 22 · 33 · 5 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-105,441] |
[a1,a2,a3,a4,a6] |
j |
4767078987/6860 |
j-invariant |
L |
1.063854504468 |
L(r)(E,1)/r! |
Ω |
3.1915635134039 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
5040u1 20160t1 630h3 3150w1 |
Quadratic twists by: -4 8 -3 5 |