Atkin-Lehner |
2- 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
85260f |
Isogeny class |
Conductor |
85260 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1174272254231328000 = -1 · 28 · 32 · 53 · 78 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-255796,72181096] |
[a1,a2,a3,a4,a6] |
Generators |
[-562:6174:1] [-147:10324:1] |
Generators of the group modulo torsion |
j |
-61458003996496/38988865125 |
j-invariant |
L |
8.5058676912643 |
L(r)(E,1)/r! |
Ω |
0.25332483100435 |
Real period |
R |
1.3990383508582 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12180i2 |
Quadratic twists by: -7 |