Atkin-Lehner |
2+ 3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670be |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-229734540000 = -1 · 25 · 32 · 54 · 73 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,527,22628] |
[a1,a2,a3,a4,a6] |
Generators |
[4:155:1] |
Generators of the group modulo torsion |
j |
47320086113/669780000 |
j-invariant |
L |
6.451136603574 |
L(r)(E,1)/r! |
Ω |
0.7358979907207 |
Real period |
R |
1.0957932816902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014952 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89670e2 |
Quadratic twists by: -7 |