Atkin-Lehner |
2+ 3- 5+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
29670p |
Isogeny class |
Conductor |
29670 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
635904 |
Modular degree for the optimal curve |
Δ |
-1008239449567395840 = -1 · 236 · 3 · 5 · 232 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,218281,28179962] |
[a1,a2,a3,a4,a6] |
j |
1150202683162384583831/1008239449567395840 |
j-invariant |
L |
1.4445896561663 |
L(r)(E,1)/r! |
Ω |
0.18057370702089 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89010bx1 |
Quadratic twists by: -3 |