Atkin-Lehner |
2+ 3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670w |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
-10836286541660160 = -1 · 225 · 32 · 5 · 76 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 1 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-68234,8488316] |
[a1,a2,a3,a4,a6] |
j |
-298626824461321/92106915840 |
j-invariant |
L |
1.5325341867026 |
L(r)(E,1)/r! |
Ω |
0.38313353733413 |
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 |
1830b1 |
Quadratic twists by: -7 |